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PIT_PIT [208]
3 years ago
15

Solve for c. (1/4) to the power of c−2=64

Mathematics
1 answer:
aev [14]3 years ago
4 0

Rewrite the equation so both sides have the same base, then equate exponents and solve for c.

\displaystyle\left(\frac{1}{4}\right)^{c-2}=64\\\\\left(4^{-1}\right)^{c-2}=4^{3}\\\\-(c-2)=3\\\\-1=c

The value of c is -1.

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