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Popular >

simplify log_{10}(90)

Solution

simplify

lo g_{10} (90)

Solution

1 + 2 lo g_{10} (3)

+1

Decimal Notation

1.95424 \dots

Solution steps

lo g_{10} (90)

Factor the number:

90 = 10 \cdot 9

= lo g_{10} (10 \cdot 9)

Apply log rule:

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

lo g_{10} (10 \cdot 9) = lo g_{10} (10) + lo g_{10} (9)

= lo g_{10} (10) + lo g_{10} (9)

Apply log rule:

lo g_{a} (a) = 1

lo g_{10} (10) = 1

= 1 + lo g_{10} (9)

lo g_{10} (9) = 2 lo g_{10} (3)

= 1 + 2 lo g_{10} (3)

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Frequently Asked Questions (FAQ)

What is log_{10}(90) ?
The solution to log_{10}(90) is 1+2log_{10}(3)