# How do you solve the equation 2^x=95?

Dec 17, 2016

$6.57 \left(3 s . f .\right)$

#### Explanation:

convert ${2}^{x} = 95$ to a logarithmic function:

exponent: $x$
base: $2$
result: $95$

function: ${\log}_{2} \left(95\right) = x$

using a calculator, find $x$, the solution of the logarithm:

${\log}_{2} \left(95\right) = 6.57 \left(3 s . f .\right)$