SOLUTION: solve the equation 2^3x=4^x-1 by getting a common base.
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Question 61966
:
solve the equation 2^3x=4^x-1 by getting a common base.
Answer by
Nate(3500)
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2^(3x) = 2^(2(x - 1))
2 to the power of 3x will equal 2 to the power of 2(x - 1) only if 3x = 2(x - 1)
3x = 2x - 2
x = -2