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Popular >

simplify 5log_{10}(125)

Solution

simplify

5 lo g_{10} (125)

Solution

15 lo g_{10} (5)

+1

Decimal Notation

10.48455 \dots

Solution steps

5 lo g_{10} (125)

Factor the number:

125 = 5^{3}

= 5 lo g_{10} (5^{3})

Apply log rule:

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

lo g_{10} (5^{3}) = 3 lo g_{10} (5)

= 5 \cdot 3 lo g_{10} (5)

Multiply the numbers:

5 \cdot 3 = 15

= 15 lo g_{10} (5)

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Frequently Asked Questions (FAQ)

What is 5log_{10}(125) ?
The solution to 5log_{10}(125) is 15log_{10}(5)