SOLUTION: 1. Solve each equation. Show all your work. Round your answers to four decimal places. log4 2+log4 (4x-1)=3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1. Solve each equation. Show all your work. Round your answers to four decimal places. log4 2+log4 (4x-1)=3      Log On


   

Question 743947: 1. Solve each equation. Show all your work. Round your answers to four decimal places.
log4 2+log4 (4x-1)=3
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!










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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log4 2+log4 (4x-1)=3
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log%284%2C+2%29+%2B+log%284%2C+%284x-1%29%29+=+log%284%2C4%5E3%29
log%284%2C+2%2A%284x-1%29%29+=+log%284%2C64%29
2*(4x-1) = 64
4x-1 = 32
4x = 33
x = 8.25