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Popular >

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

Solution

simplify

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

Solution

ln (x^{5})

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Simplify

\frac{( x ^{2} ) ^{3}}{x} : x^{5}

= ln (x^{5})

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Frequently Asked Questions (FAQ)

What is 3ln(x^2)-ln(x) ?
The solution to 3ln(x^2)-ln(x) is ln(x^5)