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Alexxx [7]
3 years ago
8

Solve the exponential equation. (½)x = 32

Mathematics
1 answer:
abruzzese [7]3 years ago
4 0

Answer:

x = - 5

Step-by-step explanation:

Using the rule of exponents

• a^{-m} ⇔ \frac{1}{a^{m} }

Given

(1/2)^{x} = 32

\frac{1}{2^{x} } = 32

2^{-x} = 2^{5}

Since the bases are equal, both 5, equate the exponents

Hence x = - 5

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