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Popular >

simplify 20log_{10}(25)

Solution

simplify

20 lo g_{10} (25)

Solution

40 lo g_{10} (5)

+1

Solution steps

20 lo g_{10} (25)

Factor the number:

25 = 5^{2}

= 20 lo g_{10} (5^{2})

Apply log rule:

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

lo g_{10} (5^{2}) = 2 lo g_{10} (5)

= 20 \cdot 2 lo g_{10} (5)

Multiply the numbers:

20 \cdot 2 = 40

= 40 lo g_{10} (5)

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Frequently Asked Questions (FAQ)

What is 20log_{10}(25) ?
The solution to 20log_{10}(25) is 40log_{10}(5)