Question

93. Solve each equation. Express your answer as a logarithm, and then approximate the solution to the nearest thousandth.

c. (2)3x = 9

Answer 1

Given:

`2^(3x) = 9`

Therefore, in order to evaluate the given equation we will take log on both sides:

`3xlog(2) = log(9)`

Using the values of the above variables , we get :

`3x* 0.301 = 0.954`

Therefore,

`x = (0.954)/(0.301 * 3)`

x = 1.056