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Popular >

simplify log_{4}(125)

Solution

simplify

lo g_{4} (125)

Solution

3 lo g_{4} (5)

+1

Decimal Notation

3.48289 \dots

Solution steps

lo g_{4} (125)

Factor the number:

125 = 5^{3}

= lo g_{4} (5^{3})

Apply log rule:

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

lo g_{4} (5^{3}) = 3 lo g_{4} (5)

= 3 lo g_{4} (5)

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Frequently Asked Questions (FAQ)

What is log_{4}(125) ?
The solution to log_{4}(125) is 3log_{4}(5)