# Thread: How would I solve for x?

1. ## How would I solve for x?

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

2. Originally Posted by kmjt
1000 = 50(2)^(x/2)

How would I solve for x?
$1000 = 50 \cdot 2^{\frac{x}{2}}$

divide both sides by 50 ...

$20 = 2^{\frac{x}{2}}$

square both sides ...

$400 = 2^x$

take the log of both sides ...

$\log(400) = \log(2^x)$

use the power property of logarithms ...

$\log(400) = x \cdot \log(2)$

divide both sides by $\log(2)$ ...

$\frac{\log(400)}{\log(2)} = x$