Question 1014248
4 * 3^x = 108 is where you start.


divide both sides of this equation by 4 to get 3^x = 108/4.


simplify to get 3^x = 27.


this is true if and only if x = 3, because 3^3 = 27.


you could also solve by logs.


take the log of both sides of this equation to get log(3^x) = log(27).


since log(3^x) = x*log(3), you get x * log(3) = log(27).


divide both sides of this equation by log(3) to get x = log(27)/log(3).


solve for x to get x = 3.


use the LOG function of your calculator to do this.