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luda_lava [24]
4 years ago
11

Which is the solution to 5^x=8^x-7

Mathematics
2 answers:
Nadya [2.5K]4 years ago
6 0

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)

Alexandra [31]4 years ago
5 0

Answer:

OPTION C = 30.9702

Step-by-step explanation:

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