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Popular >

simplify 5*ln(x^3)-ln(x^2)

Solution

simplify

5 \cdot ln (x^{3}) - ln (x^{2})

Solution

ln (x^{13})

Solution steps

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

Apply log rule:

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

5 ln (x^{3}) = ln ((x^{3})^{5})

= ln ((x^{3})^{5}) - ln (x^{2})

Apply log rule:

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

ln ((x^{3})^{5}) - ln (x^{2}) = ln (\frac{( x ^{3} ) ^{5}}{x ^{2}})

= ln (\frac{( x ^{3} ) ^{5}}{x ^{2}})

Simplify

\frac{( x ^{3} ) ^{5}}{x ^{2}} : x^{13}

= ln (x^{13})

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Frequently Asked Questions (FAQ)

What is 5*ln(x^3)-ln(x^2) ?
The solution to 5*ln(x^3)-ln(x^2) is ln(x^{13})