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Popular >

simplify log_{0.5}(8)

Solution

simplify

lo g_{0.5} (8)

Solution

- 3

Solution steps

lo g_{0.5} (8)

Factor the number:

8 = 2^{3}

= lo g_{0.5} (2^{3})

Apply log rule:

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

lo g_{0.5} (2^{3}) = 3 lo g_{0.5} (2)

= 3 lo g_{0.5} (2)

Simplify

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

= 3 \cdot \frac{1}{- 1}

Simplify

= - 3

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Frequently Asked Questions (FAQ)

What is log_{0.5}(8) ?
The solution to log_{0.5}(8) is -3