SOLUTION: Solve 3^(2x+1)=2^(5x-2) to the nearest tenth

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Question 185225: Solve 3^(2x+1)=2^(5x-2) to the nearest tenth
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
32x+1=25x-2
Step 1: Find the logaithms of both sides. Note that log(ab)=b log a
(2x+1)log 3=(5x-2)log 2
0.47712(2x+1)=0.30102(5x-2)
1.58501(2x+1)=5x-2
3.17002x+1.58501=5x-2
3.58501=1.82997x
x=1.95905=2.0 (rounded to the nearest tenth)
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