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Popular >

simplify 6ln(x)-ln(x^2)

Solution

simplify

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

Solution

ln (x^{4})

Solution steps

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

Apply log rule:

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

6 ln (x) = ln (x^{6})

= ln (x^{6}) - ln (x^{2})

Apply log rule:

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

ln (x^{6}) - ln (x^{2}) = ln (\frac{x ^{6}}{x ^{2}})

= ln (\frac{x ^{6}}{x ^{2}})

Simplify

\frac{x ^{6}}{x ^{2}} : x^{4}

= ln (x^{4})

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Frequently Asked Questions (FAQ)

What is 6ln(x)-ln(x^2) ?
The solution to 6ln(x)-ln(x^2) is ln(x^4)