ANSWER
[tex]x = 0.31699[/tex]
EXPLANATION
The given exponential equation is
[tex]2700= 300 \times {2}^{10x} [/tex]
We divide through by 300 to get,
[tex]9 = {2}^{10x} [/tex]
We take the antilogarithm of both sides to base 2 to get,
[tex] log_{2}(9) = 10x[/tex]
[tex]\frac{log_{2}(3^2)}{10}= x[/tex]
[tex]\frac{2log_{2}(3)}{10}=x[/tex]
[tex]\frac{log_{2}(3)}{5}=x[/tex]
Or
[tex]x = \frac{1}{10} \times 3.16993[/tex]
[tex]x = 0.31699[/tex]
