Question

can anyone show me how to work x^6=46656 ?

Answer 1

Factor it.

Answer 2

Keep dividing by 2.
Then keep dividing by 3.
It will be clear once you factor it.

Answer 3

You will end up with \[
46656 =2^6\times 3^6
\]

Answer 4

is that the final answer?

Answer 5

No, but that should make it pretty clear what \(x\) is.

Answer 6

6 ?

Answer 7

You didn't ask for an answer, you asked for how to work it.

Answer 8

Yes, \(x=6\)

Answer 9

yea i just wanted to make sure I was right thank you

Answer 10

How about taking logarithms?
x^6=46656
log x^6 = log 46656
6 * log x = log 46656
I'm using base 10 logs here:
log x = log 46656 / 6
log x = 4.668907502302 / 6
log x = 0.7781512504
10^0.7781512504 = x
x = 6