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Popular >

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

Solution

simplify

ln^{2} (t) + 2 \cdot ln (t)

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Simplify

t t^{2} : t^{3}

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

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Frequently Asked Questions (FAQ)

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