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Popular >

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

Solution

simplify

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

Solution

ln (x^{7})

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} (ab)

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

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

Simplify

(x^{2})^{3} x : x^{7}

= ln (x^{7})

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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^7)