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Popular >

simplify log_{5}(50)

Solution

simplify

lo g_{5} (50)

Solution

2 + lo g_{5} (2)

+1

Decimal Notation

2.43067 \dots

Solution steps

lo g_{5} (50)

Factor the number:

50 = 5^{2} \cdot 2

= lo g_{5} (5^{2} \cdot 2)

Apply log rule:

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

lo g_{5} (5^{2} \cdot 2) = lo g_{5} (5^{2}) + lo g_{5} (2)

= lo g_{5} (5^{2}) + lo g_{5} (2)

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{5} (5^{2}) = 2

= 2 + lo g_{5} (2)

Popular Examples

\frac{160}{3}

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simplify-2x^2+x^2 simplify

- 2 x^{2} + x^{2}

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\frac{23 - 11 i}{- 9 - 7 i}

simplify (-12+5i)+(-10+3i)simplify

(- 12 + 5 i) + (- 10 + 3 i)

Frequently Asked Questions (FAQ)

What is log_{5}(50) ?
The solution to log_{5}(50) is 2+log_{5}(2)