Logarithm Change of Base Formula & Solving Log Equations - Part 1 - [7]

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In this lesson, you will learn how to solve logarithmic equations by using the log change of base formula. We will learn that we can express the logarithm in terms of a different log with a different base. This is very useful when we solve logarithmic equations because we can construct the proper log to cancel terms and isolate the variable that we are trying to solve. In this lesson, we will introduce the log change of base formula and apply it to solving equations that contain logarithms.

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6:20 - Finally. Thank you for giving this part here. Literally the only question I had about this, is whether the base is fixed to 2 or 10 or not. But now thanks to you, I have finally no doubts.

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I'm happy with that proof, since I was struggling at. Logarithm of 1 is always zero irrespective of the bases. Logarithm to base 1 is undefined. E.g log 2 = log 2/log 1 = log 2/0 = undefined.

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Great teaching. I have problem for how make table of lograthms is there any have a reference reviewing this fact. Thanks I mean where the values of log table are derived ? Which formula is used

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very good rationale for changing to easier bases10 or 'e' explained

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When I studied logarithms, I was told that base 10 logarithm's notation is "lg"

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[@jyosthnamarati1458]

Sir, i got answer 2, for log 9 base 3. But we got different answer in different way in our video, can you please explain this. I did 9 as 3 power 2 . And took 2 in the front. And i krep number 1 in place of log 3 base 3. Finally i got 2.

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Log of 10 with change of base formula. Log10=ln10/ln10=1. Secret is secred!. We keep some secrets until they work for us. Sometimes secrets could disturb us like noise. Don't keep the secrets that may disturb you.

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am satisfied with that 👍

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I can't remember the base change formula if my life depended on it. I have to figure it out by using logs to base 2, 4 and 8 of 64, or that the formula for log to ln is 2.30

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Having challenges solving log x = -1.8 problem... My hand held answers -.8.... so I went to Excel and it won't take negative numbers... so just checking the .0158 answer.. maybe I need a better calculator (Casio 300 fx 300SA)..appreciate the thoroughness you provide..I signed up for a Subscription..thanks

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Replying to my own post...figured out correctly operating my calculator ..and get your answer..sorry for the my unneeded prior post...

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@@DBX277 No worries! Glad you figured it out! Thank you and good luck in your studies! Jason

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The number e and pi are irrationals

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Minor detail .......... The professor forgot that he could also convert to a base e, because there is a also a button on most calculators beside base 10

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am satisfied with that 👍

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