Question 185225
3<sup>2x+1</sup>=2<sup>5x-2</sup>
Step 1: Find the logaithms of both sides. Note that log(a<sup>b</sup>)=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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