Question

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

Answer 1

Answer:

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 :

$3x\times 0.301 = 0.954$

Therefore,

$x = \frac{0.954}{0.301 \times 3}$

x = 1.056