SOLUTION: Solve the equation e^6^y = 25

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the equation e^6^y = 25       Log On


   

Question 111418: Solve the equation

e^6^y = 25
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
e%5E%286%5Ey%29+=+25
6%5Ey+=+ln%2825%29 Take the natural log of both sides.
y=log%286%2Cln%2825%29%29Take the log base 6 of both sides.
y=log%2810%2Cln%2825%29%29%2Flog%2810%2C6%29Change from log base 6 to log base 10.
y=0.5077%2F0.7782Substitute values.
y=0.6524
Check your answer
6%5E%28.6524%29+=+3.2186+
e%5E%283.2186%29+=+24.9931+
Close enough.