Question

512^x=4 solve for x

Answer 1

first of all factorise 512
and then take logarithm of both sides

Answer 2

does it help to know that \(512\) is a power of two? i.e. that
\[512=2^9\]?

Answer 3

and of course \(4=2^2\)

Answer 4

so
\[512^x=(2^9)^x=2^{9x}\] your equation becomes
\[2^{9x}=2^2\] making \(9x=2\)

Answer 5

no, divide by 9

Answer 6

but 512^2/9 doesnt equal 4