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Popular >

simplify log_{5}(sqrt(123))

Solution

simplify

lo g_{5} (123)

Solution

\frac{1}{2} lo g_{5} (123)

+1

Decimal Notation

1.49498 \dots

Solution steps

lo g_{5} (123)

Rewrite as

= lo g_{5} (12 3^{\frac{1}{2}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{2} lo g_{5} (123)

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Frequently Asked Questions (FAQ)

What is log_{5}(sqrt(123)) ?
The solution to log_{5}(sqrt(123)) is 1/2 log_{5}(123)