3 years ago

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

Mathematics

2 answers:

Nadya [2.5K]3 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]3 years ago

5 0

Answer:

OPTION C = 30.9702

Step-by-step explanation:

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