Question 623003
Solve the equation 7^(x – 2) = 5^x. Round the answer to four decimal places.
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7^(x – 2) = 5^x
take log of both sides
(x-2)log7=xlog5
(x-2)/x=log5/log7≈.8271
x-.8271x=2
.1729x=2
x≈2/.1729
x≈=11.5665