Solving Logarithmic Equations... How? (NancyPi)
For my video on logarithm basics like how to EVALUATE LOGS, including natural logs (ln x), jump to: https://youtu.be/Zw5t6BTQYRU
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SOLVING LOGARITHMIC EQUATIONS for x: Every logarithm is connected to an exponential form. The best way to figure out a log function is to REARRANGE THE LOG INTO EXPONENTIAL FORM and then solve for x. I show a quick recap of how to rewrite a log into exponential form, but for a longer explanation of rearranging into exponential form to evaluate a log, jump to my video "Logarithms... How?" (https://youtu.be/Zw5t6BTQYRU) for help with converting log to exponential form. In this video, I show you more complicated log equations with more than one log, where you'll need the LOG PROPERTIES (logarithm rules) to simplify and be able to condense down to one logarithm on a side so that you can solve.
Solving logarithmic equations with LOGS ON BOTH SIDES: If you have one log on each side of the equation, with the same base, you can use the EQUALITY PROPERTY log formula.
If you have more than one log on a side of the equation (with the same base), you can use the PRODUCT PROPERTY (if the logs are added) or the QUOTIENT PROPERTY (if the logs are subtracted) to combine the logs into one log. If you have a number multiplied in front of a log, as a coefficient, you can use the POWER PROPERTY logarithm formula to bring the coefficient up as a power inside the log argument. Once you simplify the log equation using the product, quotient, and/or power properties, you can either 1) solve by using the equality property if you just have one log on each side (with same base), or 2) solve by rewriting into exponential form if you have a log on one side and a number on the other side. IMPORTANT - CHECK SOLUTIONS: When solving logarithmic functions, you have to CHECK your solutions for log equations. Any numbers you get as solutions you have to plug back into the original equation to check. If a solution does not work or gives an undefined value (for example: log of a negative number), then it is an "extraneous solution" and must be thrown out!
For more logarithm examples and help with solving logarithmic and exponential equations, logarithmic form problems, exponential function and exponential equation math, solving logarithmic expressions, solving log equations without a calculator, log x equations, exponential and logarithmic functions, exponent math, log solver and log equation solver math, log equations with the same base, and log equations with different bases, as well as more of my math videos for algebra, algebra 2, precalculus, and college algebra, check out: http://nancypi.com
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#solving_logarithmic_equations #log_equations #log_properties #logarithm #log #log_rules #logarithm_rules #how_to_solve_log_equations #properties_of_logarithms #equation #exponential #properties #exponential_form #product #quotient #power #equality #property #logarithmic_equations #solving_logarithms #logarithmic_functions #log_to_exponential #log_function #log_x #solve_for_x #solve #extraneous_solution #example #problem #khan #solver #calculator #patrickjmt #math #algebra #precalculus #nancy #nancypiКомментарии:
Thankyou Ms.nancy 😊
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Nancy is Smart,from Holy Country Ethiopia
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Me in grad school relearning stuff from high school so I can at least try to understand what's going on in my lectures🥲Really appreciate these videos, easy to follow for dummies like me
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So helpful, thank you!
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Mam , you are so cute 💕✌️
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How do I solve m(2 to the nth power) =20 ... for m ? Basically what I want to know is if I take the power of 2 series {1,2,4,8 ... } and multiply it by a constant such as 5 to get {5,10,20,40 ... } and I want to do the inverse ... like I have {5,10,20,40 ... } and I want to divide it by the power of 2 series to get the constant but I don't know which power it is .. all I know is it's base. 20 / (2 to the nth power) = m . Say I know log2 20 but I don't know m or n in the product rule and I want to find m. Would I take log2 20 = y and substitute my now known y into log(2m) 20 = y to get m ? ... and if so what is the rule or formula for finding a product of a base ?
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Naa mai smja, Na mai jana , Jo bhi tumne mujse kaha hai Senorita. Magar fir bhi najane kyu mujse sunnke accha lga hai Senorita❤
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Is she writing backwards?
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so beautiful. I love you
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... she's writing backwards
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Pretty hard to concentrate, on such difficult material.
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I love it thank you miss❤
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How did you get+7
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Loquinerio, Carl John S.
STEM-103
I'm hot for teacher.
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bella y buena.
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I like when she starts writing slow and then switches to really fast
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very smart but the most impressive thing to me...writing backwards - her writing is more legible backwards than mine is forwards
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Please don't use f word. Im already impressed 😢
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Why are you not allowed to use the product property on your second solution x=-2? is it because you end up with negative numbers in the first place and are therefore not allowed to continue or is there another reason. Because in my mind I would use the product rule which would end up in log (-2)*(-4) which is log 8, in other words, a positive number.
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I like her smile....
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My log growing exponentially watching you honey.
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Is beautiful teacher ❤ além de linda sabe ensinar coisas complicadas de modo invertido
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speed up relaxes me a lot
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Excellent nancy
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the best math video
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I struggled for hours on this subject, but the way you break everything down is super helpful, I am finally starting to understand Logarithmic Equations.
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Madam please don't expose your body
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Is she writing oppositely?
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How can a woman be so beautiful and good at maths
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i hate math but i like your videos but i still hate it
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Hey thank you so much ☺️ the way you teaching us it's look like Affinity
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Thank you sister ❤❤ now my basics are strong ...very helpful video ....🥰🥰 Love from India ❤❤🇮🇳🇮🇳
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Thank you❤
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Someone saw Vampire The Masquerade Bloodhunt and thought they could paste it over Life is Strange's Arcadia Bay 💀
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Enjoy your videos!
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💋💋💋💋💋
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That was awesome, A good mathematician indeed! was able to recollect,and relearn once again with all forms of log in a single lecture, Thanks Mam! Thankyou for your time.
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Thank you for your help.
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Log(4x-3)=log (x+1)+log3 how we solve this problem? Plz tell mam
ОтветитьHow mam we solve log10 x=1? With X2 3x+6🌾🚀🇮🇳🌏🌎🌍👏👍💪🤝🇦🇷🇦🇱🇨🇦🇫🇮🇿🇦🇦🇹🇵🇰🇵🇰🇫🇯🇨🇨🇷🇺🕉️👌👑🌟🔥🎉
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Did she say shitty or shady?
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ur too fine I can’t pay attention
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Thank you so much it helped easily
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Thanks ❤❤
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My english is not so good but I undersand all , numbers are the same in any language .
Very nice explanation , good for Nancy .
