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Popular >

simplify ln((x^2)/x)

Solution

simplify

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

Solution

ln (x)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= 2 ln (x) - ln (x)

Add similar elements:

2 ln (x) - ln (x) = ln (x)

= ln (x)

Popular Examples

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ln (\frac{35}{15})

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\frac{2 ln ( 2 ) - ln ( 3 )}{1.5}

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lo g_{10} (0.4) - lo g_{10} (0.3)

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6 lo g_{5} (u) + 8 lo g_{5} (v)

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ln (y + 0.4) - ln (x)

Frequently Asked Questions (FAQ)

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