SOLUTION: Solve 124 = 3(4)^2x-1 for x using logarithms.

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Question 1198530: Solve 124 = 3(4)^2x-1 for x using logarithms.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
assuming you have
+124+=+3%284%29%5E%282x-1%29 for x using logarithms

+log%28124+%29=+log%283%284%29%5E%282x-1%29+%29

+log%28124+%29=+log%283%29%2Blog%28%284%29%5E%282x-1%29+%29

+log%28124+%29-log%283%29=log%28%284%29%5E%282x-1%29+%29

+log%28124+%29-log%283%29=%282x-1%29log%284%29

+2x-1=%28log%28124+%29-log%283%29%29%2Flog%284%29

+2x=%28log%28124%29+-+log%283%29%29%2Flog%284%29%2B1

+x=1%2F2-%28log%28124%29+-+log%283%29%29%2F%282log%284%29%29

+x=log%28496%2F3%29%2Flog%2816%29-----------exactly

+x=1.84231-------------approximately



Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Solve 124 = 3(4)^2x-1 for x using logarithms.
If you want to be SUPER-CONFUSED and have a lot of time to waste, then pay close attention to that woman's solution. If not, read on!!

  
matrix%281%2C3%2C+2x+-+1%2C+%22=%22%2C+log+%284%2C+%28124%2F3%29%29%29 ------ Converting to LOGARITHMIC form
   matrix%281%2C3%2C+2x%2C+%22=%22%2C+log+%284%2C+%28124%2F3%29%29+%2B+1%29