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Popular >

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

Solution

simplify

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

Solution

ln (t^{7})

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

Simplify

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

= ln (t^{7})

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Frequently Asked Questions (FAQ)

What is 3ln(t^2)+ln(t) ?
The solution to 3ln(t^2)+ln(t) is ln(t^7)