Question

Take the common logarithm of both sides of
the equation. Use the power law to bring
the exponent (2x+1) down as a factor.
5(2x+1) = 8

Answer 1

Step 1: Take the common logarithm of both sides of the equation. Use the power property to bring the exponent, (2x+1), down as a factor.

Step 2: Solve the equation from step 1 for x. Round your final answer to the nearest hundreth.

(2x+1)*log(5) = log(8)

2x+1 = log(8)/log(5) = ~ 1.29203

2x = 0.29203