SOLUTION: I have a question that deals with Logarithmic Functions. I have a work sheet and the directions say to "solve". the problem is 2 with and exponet of "x" =81.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I have a question that deals with Logarithmic Functions. I have a work sheet and the directions say to "solve". the problem is 2 with and exponet of "x" =81.      Log On


   

Question 195840: I have a question that deals with Logarithmic Functions. I have a work sheet and the directions say to "solve". the problem is 2 with and exponet of "x" =81.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%5Ex=81 Start with the given equation


log%2810%2C%282%5Ex%29%29=log%2810%2C%2881%29%29 Take the log of both sides.


x%2Alog%2810%2C%282%29%29=log%2810%2C%2881%29%29 Pull down the exponent.


x=log%2810%2C%2881%29%29%2Flog%2810%2C%282%29%29 Divide both sides by log%2810%2C%282%29%29


x=log%282%2C%2881%29%29 Use the change of base formula


So the solution is x=log%282%2C%2881%29%29


which approximates to