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Popular >

simplify log_{1/5}(25)

Solution

simplify

lo g_{\frac{1}{5}} (25)

Solution

- 2

Solution steps

lo g_{\frac{1}{5}} (25)

Apply log rule:

lo g_{\frac{1}{a}} (x) = - lo g_{a} (x)

lo g_{\frac{1}{5}} (25) = - lo g_{5} (25)

= - lo g_{5} (25)

Factor the number:

25 = 5^{2}

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

Apply log rule:

lo g_{a} (a^{b}) = b

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

= - 2

Popular Examples

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8 (x + 5) = 56

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- 7 r - 4 \geq 4 r + 2

Frequently Asked Questions (FAQ)

What is log_{1/5}(25) ?
The solution to log_{1/5}(25) is -2