SOLUTION: Solve each equation. Round to 2 decimal places, if needed. 7^x=3^3x+1 Thanks in advance for the help.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve each equation. Round to 2 decimal places, if needed. 7^x=3^3x+1 Thanks in advance for the help.      Log On


   

Question 859838: Solve each equation. Round to 2 decimal places, if needed.
7^x=3^3x+1
Thanks in advance for the help.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the exponent of 3? 3x? 3x+1?
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If it's 3x+1,
7^x=3^3x+1
x*ln(7) = (3x+1)*ln(3)
x*ln(7) = 3x*ln(3) + ln(3)
x*(ln(7) - 3ln(3)) = ln(3)
x = ln(3)/(ln(7) - ln(27))
x = ln(3)/ln(7/27)
x =~ -0.813831