SOLUTION: 4 (to the power of)x+1=3 (to the power of)x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 4 (to the power of)x+1=3 (to the power of)x      Log On


   

Question 38713: 4 (to the power of)x+1=3 (to the power of)x
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Okay from
4^(x+1) = 3^x
take the log of both sides and get
log 4^(x+1) = log 3^x
Now apply the power rule
(x+1)*log 4 = x*log 3
and solve for x
x*log 4 + log 4 = x*log 3
x*log 4 - x*log 3 = -log 4
x*(log 4 - log 3) = -log 4
x = -log 4 / (log 4 - log 3)
x = log 4 / (log 3 - log 4)