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Popular >

simplify log_{0.5}(32)

Solution

simplify

lo g_{0.5} (32)

Solution

- 5

Solution steps

lo g_{0.5} (32)

Factor the number:

32 = 2^{5}

= lo g_{0.5} (2^{5})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{0.5} (2^{5}) = 5 lo g_{0.5} (2)

= 5 lo g_{0.5} (2)

Simplify

lo g_{0.5} (2) : \frac{1}{- 1}

= 5 \cdot \frac{1}{- 1}

Simplify

= - 5

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Frequently Asked Questions (FAQ)

What is log_{0.5}(32) ?
The solution to log_{0.5}(32) is -5