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Popular >

simplify log_{10}(250)

Solution

simplify

lo g_{10} (250)

Solution

1 + 2 lo g_{10} (5)

+1

Decimal Notation

2.39794 \dots

Solution steps

lo g_{10} (250)

Factor the number:

250 = 10 \cdot 25

= lo g_{10} (10 \cdot 25)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (10 \cdot 25) = lo g_{10} (10) + lo g_{10} (25)

= lo g_{10} (10) + lo g_{10} (25)

Apply log rule:

lo g_{a} (a) = 1

lo g_{10} (10) = 1

= 1 + lo g_{10} (25)

lo g_{10} (25) = 2 lo g_{10} (5)

= 1 + 2 lo g_{10} (5)

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Frequently Asked Questions (FAQ)

What is log_{10}(250) ?
The solution to log_{10}(250) is 1+2log_{10}(5)