SOLUTION: 5^2x =7^x+1
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Question 1040055
:
5^2x =7^x+1
Answer by
Boreal(15235)
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5^2x=7^(x+1) Notice the editing.
ln both sides
2x ln 5=(x+1)ln 7
2x/(x+1)=ln7/ln5
=1.209
2x=1.209x+1.209
0.791x=1.209
x=1.5285
check
5^(3.057)=137.02
7^(2.5285)=137.03 , rounding error.