SOLUTION: Solve the equation 2^3x=4^x-1 by getting a common base.

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Question 61872: Solve the equation 2^3x=4^x-1 by getting a common base.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation 2^3x=4^(x-1) by getting a common base.
2%5E3x=%282%5E2%29%5E%28x-1%29
2%5E%283x%29=2%5E%282%28x-1%29%29
3x=2(x-1)
3x=2x-2
3x-2x=2x-2x-2
highlight%28x=-2%29
Check:
2%5E%283%28-2%29%29=4%5E%28-2-1%29
2%5E%28-6%29=4%5E%28-3%29
1%2F%282%5E6%29=1%2F4%5E3
1%2F64=1%2F64 We're right!!!!
Happy Calculating!!!