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Popular >

simplify log_{1/10}(100)

Solution

simplify

lo g_{\frac{1}{10}} (100)

Solution

- 2

Solution steps

lo g_{\frac{1}{10}} (100)

Apply log rule:

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

lo g_{\frac{1}{10}} (100) = - lo g_{10} (100)

= - lo g_{10} (100)

Factor the number:

100 = 1 0^{2}

= - lo g_{10} (1 0^{2})

Apply log rule:

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

lo g_{10} (1 0^{2}) = 2

= - 2

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Frequently Asked Questions (FAQ)

What is log_{1/10}(100) ?
The solution to log_{1/10}(100) is -2