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Popular >

simplify log_{10}(8)(2)

Solution

simplify

lo g_{10} (8) (2)

Solution

6 lo g_{10} (2)

+1

Decimal Notation

1.80617 \dots

Solution steps

lo g_{10} (8) (2)

Apply rule:

(a) = a

(2) = 2

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

Factor the number:

8 = 2^{3}

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

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) \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6 lo g_{10} (2)

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Frequently Asked Questions (FAQ)

What is log_{10}(8)(2) ?
The solution to log_{10}(8)(2) is 6log_{10}(2)