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Popular >

simplify log_{10}(80)

Solution

simplify

lo g_{10} (80)

Solution

1 + 3 lo g_{10} (2)

+1

Decimal Notation

1.90308 \dots

Solution steps

lo g_{10} (80)

Factor the number:

80 = 10 \cdot 8

= lo g_{10} (10 \cdot 8)

Apply log rule:

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

lo g_{10} (10 \cdot 8) = lo g_{10} (10) + lo g_{10} (8)

= lo g_{10} (10) + lo g_{10} (8)

Apply log rule:

lo g_{a} (a) = 1

lo g_{10} (10) = 1

= 1 + lo g_{10} (8)

lo g_{10} (8) = 3 lo g_{10} (2)

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

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Frequently Asked Questions (FAQ)

What is log_{10}(80) ?
The solution to log_{10}(80) is 1+3log_{10}(2)