Mathematics: Use exponential form to evaluate log8(2)

I think it s 25 because 1+6*2=12+12...

Use exponential form to evaluate log8(2) - id821174321, naydabaddest

jaelynnm

14.03.2022

$\frac{1}{3}$

Explanation:

let y = $log_{8} (2)$

whenever we transfer base from log from one side to other it will remain be base after shifting to the other side.

Change log to exponent form $\log_xm=n\\m =x^{n}$

here we have n = y, m=2, x=8 by substituting the values

we will get

$8^{y} = 2$ (1)

we can write 8 in power of 2 that is $2^{3}$

we will rewrite the above equation (1) as

$2^{3y} = 2$

we can equate the power when base is same then we will get

3y = 1

then

$y=\frac{1}{3}$

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