Question

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

Answer 1

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