Question

what is the value of Log512(8)=

Answer 1

Answer:3

Step-by-step explanation

log512(8) = log 8^3(8) = 3log8(8)=3

Answer 2

The value of $log _8 (512 )$ is  3

Step-by-step explanation:

given equation :

$log _8 (512 )$

let $log _8 (512 )= x$

rewrite it in the exponential form

if x and b are positive real numbers and b does not equal to 1

then

$log _b (x)= y \\\\b^y =x$

thus

$8^x = 512 \\\\(2^3)^x = 2^9\\\\2^3^x = 2^9$

since the base are the same  then

3x= 9

solve for x

x = 3

hence , The value of $log _8 (512 )$ is 3

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