How to Solve Logarithmic Equations with Three Different Bases: Step-by-Step Explanation

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how did you log to the base 2 time x where did you get that from 2 in the base
and when we write it in that form we get 4 ^ 2 = x hence x = 16

danielsajeev
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One of the best tutors. Thank you Sir.

davisnganga
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Thanks very much by the grace of God I will pass my further maths test

ebikienmogeorge-oduali
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very easy to follow and understand. thank you

marijana
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teacher Thank u so much for your deeply explanation keep going

xasancabdinasax
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I used base of 2 for the same answer. 7log(2)x = 28. Log(2)x = 4. x = 2^4 = 16.

jim
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Thank you!! :) This helps a lot. I couldn't find a solution for this exact problem.

Randomzxc
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How to do this?evaluate
log10x+log(x-3)=1

rakhidhotre
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7:45 The exponent becomes the coefficient of the logarithm. Doesn't it?

aakashkarajgikar
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Why do we rewrite them as base 2? 0:48

aakashkarajgikar
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I'm trying to watch the math but I can't get over how well he writes with a cursor

gavin
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Use this fact: log a power of b base a = b

joelli
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Thank you so much, I have an exam about this tomorrow

djskjdksjdksjdsjksj
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So nice a problem!
but why choose that complicated way, at 1:26, when you have those clear denominators ²log4 and ²log16, and not remembering that, by definition, they are the exponents that 2 needs to get 4, resp. to get 16.
So by heart they're 2 (because 4=2²) and 4 (16=2⁴). Simple and some minutes shorter, isn't it. Or am I wrong.

keescanalfp
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Who does washes the dishes there to you?! ...

klementhajrullaj
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log x base4(1+1/2+2)=7=>log xbase4=2=>x=4^2=16 ans

adgfx
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so long to solve time consuming during exam

pitoumil