Im working on a question and Im almost done but i cannot simplify it. So the question is 8 to the power of what equals 16? OR 8^X = 16
PLEASE HELP ASAP!
Remember that $\displaystyle 8=2^3 \mbox{ and } 16=2^4$
so now we get
$\displaystyle \left( 2^3 \right)^x=2^4 \iff 2^{3x}=2^4$
Since the bases are equal the exponents must be equal. So we need to solve
$\displaystyle 3x=4 \iff x=\frac{4}{3}$
This problem could also be done using logs.
I hope this helps.
Good luck.