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Solve the exponential equation 3^4x-1=3^31

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Hello from MrBillDoesMath!

Answer: x = 8

Discussion:

I interpret the question as follows:

3^(4x-1) = 3^31 find x.

Since the above bases are both 3, we need to equate their exponents and solve.:

4x-1 = 31 -- subtract 1 from each side.

4x = 32 =>

x = 8


Thank you,

MrB


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