SOLUTION: Please solve each step and show your work. Part 11: 5^(2x+1)=8 Step 1: Take the common logarithm of both sides of the equation. Use the power property to bring the expone

Question 215921: Please solve each step and show your work.
Part 11: 5^(2x+1)=8
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.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
5^(2x+1)=8
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
x = 0.146
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