Question

2700=300•2^10x solve for x

Answer 1

ANSWER

$x = 0.31699$

EXPLANATION

The given exponential equation is

$2700= 300 \times {2}^{10x}$

We divide through by 300 to get,

$9 = {2}^{10x}$

We take the antilogarithm of both sides to base 2 to get,

$log_{2}(9) = 10x$

$\frac{log_{2}(3^2)}{10}= x$

$\frac{2log_{2}(3)}{10}=x$

$\frac{log_{2}(3)}{5}=x$

Or

$x = \frac{1}{10} \times 3.16993$

$x = 0.31699$