Question

3^x^3=9^x

Answer 1

Mind re-typing this problem, preferably with ( )? 3^x^3 is very ambiguous.

Answer 2

well rewrite 9^x as a power of 3

\[9^x = (3^2)^x ... or.... 3^{2x}\]

using log laws power of a power

now you have the same base, you can equate the powers

\[3^{x^3} = 3^{2x}\]

so you can say

\[x^3 = 2x\]

now solve for x... and its interesting, @jinxhead... seems to have left out a solution...

Answer 3

another answer is suppose to be 0. how do you get that

Answer 4

well set the equation to zero by subtracting 2x from both sides

\[x^3 - 2x = 0\]

now factor the equation

\[x(x^2 - 2) = 0\]