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Popular >

simplify log_{5}(40)

Solution

simplify

lo g_{5} (40)

Solution

1 + 3 lo g_{5} (2)

+1

Solution steps

lo g_{5} (40)

Factor the number:

40 = 5 \cdot 8

= lo g_{5} (5 \cdot 8)

Apply log rule:

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

lo g_{5} (5 \cdot 8) = lo g_{5} (5) + lo g_{5} (8)

= lo g_{5} (5) + lo g_{5} (8)

Apply log rule:

lo g_{a} (a) = 1

lo g_{5} (5) = 1

= 1 + lo g_{5} (8)

lo g_{5} (8) = 3 lo g_{5} (2)

= 1 + 3 lo g_{5} (2)

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Frequently Asked Questions (FAQ)

What is log_{5}(40) ?
The solution to log_{5}(40) is 1+3log_{5}(2)