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Popular >

simplify 3ln(x)-ln(x^2)

Solution

simplify

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

Solution

ln (x)

Solution steps

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

Apply log rule:

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

3 ln (x) = ln (x^{3})

= ln (x^{3}) - ln (x^{2})

Apply log rule:

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

ln (x^{3}) - ln (x^{2}) = ln (\frac{x ^{3}}{x ^{2}})

= ln (\frac{x ^{3}}{x ^{2}})

Simplify

\frac{x ^{3}}{x ^{2}} : x

= ln (x)

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Frequently Asked Questions (FAQ)

What is 3ln(x)-ln(x^2) ?
The solution to 3ln(x)-ln(x^2) is ln(x)