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Popular >

simplify ln((x^2)/5)

Solution

simplify

ln (\frac{x ^{2}}{5})

Solution

2 ln (x) - ln (5)

Solution steps

ln (\frac{x ^{2}}{5})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{x ^{2}}{5}) = ln (x^{2}) - ln (5)

= ln (x^{2}) - ln (5)

Apply log rule:

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

ln (x^{2}) = 2 ln (x)

= 2 ln (x) - ln (5)

Popular Examples

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\frac{0.125 \cdot 16}{63.617 \cdot 720} \cdot ln (\frac{130}{70})

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(75.3) ln (\frac{373}{300})

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x^{2} + ln (2 x)

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ln (a e^{- \frac{b}{c}})

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\frac{1}{2} ln (3) + \frac{3}{2} ln (2)

Frequently Asked Questions (FAQ)

What is ln((x^2)/5) ?
The solution to ln((x^2)/5) is 2ln(x)-ln(5)