SOLUTION: I need to find x from the equation Log_81(3^x+2) = x-1 The underscore line just means that the 81 is the subscript

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I need to find x from the equation Log_81(3^x+2) = x-1 The underscore line just means that the 81 is the subscript       Log On


   

Question 1110901: I need to find x from the equation
Log_81(3^x+2) = x-1
The underscore line just means that the 81 is the subscript
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume this is the problem
log%2881%2C%283%5E%28x%2B2%29%29%29+=+x-1
write it in the exponent form
81%5E%28x-1%29 = 3%5E%28x%2B2%29
81 is equal to 3^4, so we can write it
3%5E%284%28x-1%29%29 = 3%5E%28x%2B2%29
3%5E%28%284x-4%29%29 = 3%5E%28%28x%2B2%29%29
therefore
4x - 4 = x + 2
4x - x = 2 + 4
3x = 6
x = 2