Solve 8 to the power of x+2 =2 to the power of 4x-3

Answers (1)

8^{x+2}=2^{4x-3}\\ (2^{3} ) ^{x+2}= 2^{4x-3}\\ 2^{3x+6}=2^{4x-3}

bases are equal. exponents must be equal.
3x+6=4x-3
4x-3=3x+6
4x-3x-3-6=0
x-9=0
therefore, x=9

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