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Popular >

simplify log_{0.2}(625)

Solution

simplify

lo g_{0.2} (625)

Solution

- 4

Solution steps

lo g_{0.2} (625)

Factor the number:

625 = 5^{4}

= lo g_{0.2} (5^{4})

Apply log rule:

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

lo g_{0.2} (5^{4}) = 4 lo g_{0.2} (5)

= 4 lo g_{0.2} (5)

Simplify

lo g_{0.2} (5) : \frac{1}{- 1}

= 4 \cdot \frac{1}{- 1}

Simplify

= - 4

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Frequently Asked Questions (FAQ)

What is log_{0.2}(625) ?
The solution to log_{0.2}(625) is -4