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Popular >

simplify log_{0.1}(0.0001)

Solution

simplify

lo g_{0.1} (0.0001)

Solution

4

Solution steps

lo g_{0.1} (0.0001)

0.0001 = 0. 1^{4}

= lo g_{0.1} (0. 1^{4})

Apply log rule

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

assuming

x \geq 0

= 4 lo g_{0.1} (0.1)

Apply log rule:

lo g_{a} (a) = 1

= 4

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Frequently Asked Questions (FAQ)

What is log_{0.1}(0.0001) ?
The solution to log_{0.1}(0.0001) is 4