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Popular >

simplify log_{5}(120)

Solution

simplify

lo g_{5} (120)

Solution

1 + lo g_{5} (24)

+1

Decimal Notation

2.97463 \dots

Solution steps

lo g_{5} (120)

Factor the number:

120 = 5 \cdot 24

= lo g_{5} (5 \cdot 24)

Apply log rule:

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

lo g_{5} (5 \cdot 24) = lo g_{5} (5) + lo g_{5} (24)

= lo g_{5} (5) + lo g_{5} (24)

Apply log rule:

lo g_{a} (a) = 1

lo g_{5} (5) = 1

= 1 + lo g_{5} (24)

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Frequently Asked Questions (FAQ)

What is log_{5}(120) ?
The solution to log_{5}(120) is 1+log_{5}(24)