Solve the exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. (Enter your answers as a comma-separated list.)

Question

4^(x − 3) = 3^(2x)
x = _____

Answer 1

4^(x-3) = 3^(2x)
(x-3)*Log4 = 2x*Log 3
Divide both sides by Log 4:
x-3 = 2x * 0.79248 = 1.5850x
x - 1.5850x = 3
-0.5850x = 3
X = -5.1282