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Can you show me how to solve this problem: a. ) 16=4 to the 3rd power x -7

User Herpderp
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1 Answer

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We assume you mean

\ \ \display{16=4^(3x-7)}
This is solved by writing 16 as a power of 4 and equating exponents.

\ 4^(2)=4^(3x-7)
2 = 3x - 7 . . . . . equate exponents
9 = 3x . . . . . add 7
3 = x . . . . . divide by 3

The solution is x = 3.
User Grok
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