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Popular >

simplify 2log_{10}(8)

Solution

simplify

2 lo g_{10} (8)

Solution

6 lo g_{10} (2)

+1

Decimal Notation

1.80617 \dots

Solution steps

2 lo g_{10} (8)

Factor the number:

8 = 2^{3}

= 2 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)

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

Multiply the numbers:

2 \cdot 3 = 6

= 6 lo g_{10} (2)

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Frequently Asked Questions (FAQ)

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