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Popular >

simplify log_{10}(8)

Solution

simplify

lo g_{10} (8)

Solution

3 lo g_{10} (2)

+1

Decimal

0.90308 \dots

Solution steps

lo g_{10} (8)

Factor the number:

8 = 2^{3}

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

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

= 3 lo g_{10} (2)

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Frequently Asked Questions (FAQ)

What is log_{10}(8) ?
The solution to log_{10}(8) is 3log_{10}(2)