college algebra
posted by Dee on .
Solve the exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. (Enter your answers as a commaseparated list.)
4^(x − 3) = 3^(2x)
x = _____

4^(x3) = 3^(2x)
(x3)*Log4 = 2x*Log 3
Divide both sides by Log 4:
x3 = 2x * 0.79248 = 1.5850x
x  1.5850x = 3
0.5850x = 3
X = 5.1282