Question

I really need help with this since I have a math test tomorrow, I'd really appreciate it if someone could help.

Answer 1

Ok first of all, I EXTREMELY appreciate your use of parenthesis. Ok so first just raise both sides to the power of 1/2.

$(\frac{3}{8})^{x}=\frac{8}{11}$

You'll see why I didn't include a negative. Then apply the log base 3/8 and you get

$x = log_{ \frac{3}{8} }( \frac{8}{11} )$
Then you split the log up and you get
$x = log_{ \frac{3}{8} }(8) - log_{ \frac{3}{8} }(11)$
You couldn't put a negative value for a log. That is why I excluded the negative part of the sqrt.