SOLUTION: Exponential equations without using logs. Solve for x: 3^(4x+1)= 27

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Exponential equations without using logs. Solve for x: 3^(4x+1)= 27      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 106619: Exponential equations without using logs. Solve for x:
3^(4x+1)= 27
Answer by stanbon(48569) About Me  (Show Source):
You can put this solution on YOUR website!
Exponential equations without using logs. Solve for x:
3^(4x+1)= 27
3^(4x+1) = 3^3
Since the bases are the same, the exponents are equal.
EQUATION:
4x+1 = 3
4x = 2
x = 1/2
============
Cheers,
Stan H.