<PRE><B>Question 282565</B>
Use properties of logs to write expression as a single log.

2log[3](2x)+log[3](3x^(4))= 2

log[3](2x)^2 + log[3](3x^4) = 2

log[3][(2x)^2 * (3x^4)] = 2

Raise base 3 to the number that lies on the other side of the log equation.

3^2 = (2x)^2 * (3x^4)

9 = 12x^6

Take 6th root of both sides.

x = [6throot{48}]/2

Plug this answer for x into the original log equation and simplify to see if the answer is correct.




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