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Popular >

simplify log_{5}(25b)

Solution

simplify

lo g_{5} (25 b)

Solution

2 + lo g_{5} (b)

Solution steps

lo g_{5} (25 b)

Factor the number:

25 = 5^{2}

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

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

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

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

Apply log rule:

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

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

= 2 + lo g_{5} (b)

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Frequently Asked Questions (FAQ)

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