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Popular >

simplify log_{0.2}(4)

Solution

simplify

lo g_{0.2} (4)

Solution

- 2 lo g_{5} (2)

+1

Decimal Notation

- 0.86135 \dots

Solution steps

lo g_{0.2} (4)

Factor the number:

4 = 2^{2}

= lo g_{0.2} (2^{2})

Apply log rule:

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

lo g_{0.2} (2^{2}) = 2 lo g_{0.2} (2)

= 2 lo g_{0.2} (2)

Simplify

lo g_{0.2} (2) : - lo g_{5} (2)

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

Remove parentheses:

(- a) = - a

= - 2 lo g_{5} (2)

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Frequently Asked Questions (FAQ)

What is log_{0.2}(4) ?
The solution to log_{0.2}(4) is -2log_{5}(2)