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Popular >

simplify log_{3}(sqrt(10))

Solution

simplify

lo g_{3} (10)

Solution

\frac{1}{2} lo g_{3} (10)

+1

Decimal Notation

1.04795 \dots

Solution steps

lo g_{3} (10)

Rewrite as

= lo g_{3} (1 0^{\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_{3} (10)

Popular Examples

0 = x^{2} - 49

\frac{4 - 5 x}{2} = 7 x - 4

2 m - 4 m + 9 = 3

factor Isx+4ax5-6x4-2x3-7x2+5x+2564 factor

I s x + 4 a x 5 - 6 x 4 - 2 x 3 - 7 x 2 + 5 x + 2564

x=(7100)(1+(0.065)/(52))^{260}

x = (7100) (1 + \frac{0.065}{52})^{260}

Frequently Asked Questions (FAQ)

What is log_{3}(sqrt(10)) ?
The solution to log_{3}(sqrt(10)) is 1/2 log_{3}(10)