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3 years ago

PLEASE HELP ASAP! Solve the equation. Show all your work. Round your answers to four decimal places. Make sure you solve

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

6 0

Answer:

x ≈ 1.9087

Step-by-step explanation:

We don't know what methods you learned in class, but here's one way to solve the equation.

Make x the exponent of a constant:

5^(x+2) = 3^(3x)

(5^x)(5^2) = (3^3)^x

25(5^x) = 27^x

Put the powers all on one side of the equation and everything else on the other side.

25 = (27^x)/(5^x) = (27/5)^x = 5.4^x

Take logarithms.

log(25) = x·log(5.4)

x = log(25)/log(5.4)

x ≈ 1.9087

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