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Popular >

simplify log_{5}(15)

Solution

simplify

lo g_{5} (15)

Solution

1 + lo g_{5} (3)

+1

Decimal Notation

1.68260 \dots

Solution steps

lo g_{5} (15)

Factor the number:

15 = 5 \cdot 3

= lo g_{5} (5 \cdot 3)

Apply log rule:

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

lo g_{5} (5 \cdot 3) = lo g_{5} (5) + lo g_{5} (3)

= lo g_{5} (5) + lo g_{5} (3)

Apply log rule:

lo g_{a} (a) = 1

lo g_{5} (5) = 1

= 1 + lo g_{5} (3)

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Frequently Asked Questions (FAQ)

What is log_{5}(15) ?
The solution to log_{5}(15) is 1+log_{5}(3)