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Popular >

expand log_{5}(25^2)

Solution

expand

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

Solution

4

Solution steps

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

Apply log rule:

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

lo g_{5} (2 5^{2}) = 2 lo g_{5} (25)

= 2 lo g_{5} (25)

Simplify

lo g_{5} (25) : 2

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

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Frequently Asked Questions (FAQ)

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