Verified answer

log2 512 = 3x

2^(3x) = 512 = 2^(9)

3x = 9

x=3

examine the log by writing 2^(3x) = 512. thats just stating the problem.

well 2^9 happens to be 512. how convenient. thus 3x = 9. x = 3. BAM

9 = 3x

3 = x

turn it to exponential..

base is 2

answer is 512

power is 3x

2^3x = 512

512 is also equal to 2^9

so

2^3x = 2^9

since base of powers is the same (2)

3x=9

x=9/3

x=3

log(2)512=3x

2^3x=512

let y=3x

2^y=512

y=9

3x=9

x=3