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Popular >

simplify 2log_{5}(25)

Solution

simplify

2 lo g_{5} (25)

Solution

4

Solution steps

2 lo g_{5} (25)

Factor the number:

25 = 5^{2}

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

Apply log rule:

lo g_{a} (a^{b}) = b

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

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

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Frequently Asked Questions (FAQ)

What is 2log_{5}(25) ?
The solution to 2log_{5}(25) is 4