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Popular >

simplify 20log_{10}(4)

Solution

simplify

20 lo g_{10} (4)

Solution

40 lo g_{10} (2)

+1

Decimal Notation

12.04119 \dots

Solution steps

20 lo g_{10} (4)

Factor the number:

4 = 2^{2}

= 20 lo g_{10} (2^{2})

Apply log rule:

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

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

= 20 \cdot 2 lo g_{10} (2)

Multiply the numbers:

20 \cdot 2 = 40

= 40 lo g_{10} (2)

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Frequently Asked Questions (FAQ)

What is 20log_{10}(4) ?
The solution to 20log_{10}(4) is 40log_{10}(2)