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Popular >

simplify log_{10}(120)

Solution

simplify

lo g_{10} (120)

Solution

1 + lo g_{10} (12)

+1

Decimal Notation

2.07918 \dots

Solution steps

lo g_{10} (120)

Factor the number:

120 = 10 \cdot 12

= lo g_{10} (10 \cdot 12)

Apply log rule:

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

lo g_{10} (10 \cdot 12) = lo g_{10} (10) + lo g_{10} (12)

= lo g_{10} (10) + lo g_{10} (12)

Apply log rule:

lo g_{a} (a) = 1

lo g_{10} (10) = 1

= 1 + lo g_{10} (12)

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Frequently Asked Questions (FAQ)

What is log_{10}(120) ?
The solution to log_{10}(120) is 1+log_{10}(12)