SOLUTION: i need a step-by-step solution to the problem: log[2](16^3x)=3x-1 (solving for x). thanks.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: i need a step-by-step solution to the problem: log[2](16^3x)=3x-1 (solving for x). thanks.      Log On


   



Question 301192: i need a step-by-step solution to the problem:
log[2](16^3x)=3x-1
(solving for x). thanks.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log[2](16^3x)=3x-1
log%282%2C%2816%5E%283x%29%29%29+=+3x-1
16 = 2^4 so 16^3x = 2^12x
--> log%282%2C%282%5E%2812x%29%29%29+=+3x-1
12x = 3x-1
x = -1/9
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