Question

2700=300•2^10x solve for x

Answer 1

ANSWER


`x = 0.31699`

Step-by-step explanation

The given exponential equation is


`2700= 300 * {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`


`(log_(2)(3^2))/(10)= x`


`(2log_(2)(3))/(10)=x`


`(log_(2)(3))/(5)=x`

Or


`x = (1)/(10) * 3.16993`


`x = 0.31699`