Answer:
x = 30.97 ( to nearest hundredth).
Step-by-step explanation:
5^x = 8^x-7
Taking logs of both sides:-
ln 5^x = ln 8^x
By the law of logarithms:-
x ln 5 = (x - 7) ln 8
x / (x - 7) = ln 8 / ln 5
x / (x - 7) = 1.292
x = 1.292x - 9.044
1.292x - x = 9.044
x = 9.044 / 0.292
= 30.97 (answer)
