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Popular >

simplify log_{3}(sqrt(100))

Solution

simplify

lo g_{3} (100)

Solution

lo g_{3} (10)

+1

Decimal Notation

2.09590 \dots

Solution steps

lo g_{3} (100)

Factor the number:

100 = 1 0^{2}

= lo g_{3} (1 0^{2})

Apply radical rule:

a^{2} = a, a \geq 0

1 0^{2} = 10

= lo g_{3} (10)

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Frequently Asked Questions (FAQ)

What is log_{3}(sqrt(100)) ?
The solution to log_{3}(sqrt(100)) is log_{3}(10)