solve the exponential equation. 5 (2^3x) = 8

Question

solve the exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places.

5 (2^3x) = 8

Answer 1

Step 1:

The exponential equation is

Rewrite the above equation,

Apply logarithm on each side.

Apply the properties of logarithm:

Apply the logarithm formula:

Solution: