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Popular >

simplify log_{10}(800)

Solution

simplify

lo g_{10} (800)

Solution

2 + 3 lo g_{10} (2)

+1

Decimal

2.90308 \dots

Solution steps

lo g_{10} (800)

Factor the number:

800 = 1 0^{2} \cdot 8

= lo g_{10} (1 0^{2} \cdot 8)

Apply log rule:

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

lo g_{10} (1 0^{2} \cdot 8) = lo g_{10} (1 0^{2}) + lo g_{10} (8)

= lo g_{10} (1 0^{2}) + lo g_{10} (8)

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{10} (1 0^{2}) = 2

= 2 + lo g_{10} (8)

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

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

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Frequently Asked Questions (FAQ)

What is log_{10}(800) ?
The solution to log_{10}(800) is 2+3log_{10}(2)