Question:

Solving by equating exponents....?

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Solve 4^3x = 8^x+1

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  1. Not hard:

    4^3x = 8^x+1

    (2^2)^3x = (2^3)^x+1 Rewrite each power with base of 2.

    2^6x = 2^3x+3 Power of power property

    6x = 3x + 3 Equate exponents

    Answer:

    x = 1

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