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Popular >

simplify log_{0.1}(100)

Solution

simplify

lo g_{0.1} (100)

Solution

- 2

Solution steps

lo g_{0.1} (100)

Factor the number:

100 = 1 0^{2}

= lo g_{0.1} (1 0^{2})

Apply log rule:

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

lo g_{0.1} (1 0^{2}) = 2 lo g_{0.1} (10)

= 2 lo g_{0.1} (10)

Simplify

lo g_{0.1} (10) : - 1

= 2 (- 1)

Simplify

= - 2

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Frequently Asked Questions (FAQ)

What is log_{0.1}(100) ?
The solution to log_{0.1}(100) is -2