1000 = 50(2)^(x/2)
How would I solve for x? I'm confused about how to get rid of the exponent part so I can isolate x
$\displaystyle 1000 = 50 \cdot 2^{\frac{x}{2}}$
divide both sides by 50 ...
$\displaystyle 20 = 2^{\frac{x}{2}}$
square both sides ...
$\displaystyle 400 = 2^x$
take the log of both sides ...
$\displaystyle \log(400) = \log(2^x)$
use the power property of logarithms ...
$\displaystyle \log(400) = x \cdot \log(2)$
divide both sides by $\displaystyle \log(2)$ ...
$\displaystyle \frac{\log(400)}{\log(2)} = x$