SOLUTION: Solve each equation. Round to 2 decimal places, if needed. 17+(5.23)^4x=102 Thanks in advance for the help.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve each equation. Round to 2 decimal places, if needed. 17+(5.23)^4x=102 Thanks in advance for the help.      Log On


   

Question 859835: Solve each equation. Round to 2 decimal places, if needed.
17+(5.23)^4x=102
Thanks in advance for the help.
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
17+(5.23)^4x=102
5.23^4x= 85
4x*log(5.23) =log(85)
x+=+log%2885%29%2F%284log%285.23%29%29

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
17+(5.23)^4x=102
subtract 17 from both sides of =
85 = (5.23)^4x
from definition of logarithms
4x = log base 5.23 (85)
4x = 2.6853366605
divide both sides of = by 4
x = 0.67