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Popular >

simplify ln(a*T^n)

Solution

simplify

ln (a \cdot T^{n})

Solution

ln (a) + n ln (T)

Solution steps

ln (a T^{n})

Apply log rule:

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

ln (a T^{n}) = ln (a) + ln (T^{n})

= ln (a) + ln (T^{n})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (T^{n}) = n ln (T)

= ln (a) + n ln (T)

Popular Examples

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ln (x + 1) - 2 ln (x) - ln (y)

Frequently Asked Questions (FAQ)

What is ln(a*T^n) ?
The solution to ln(a*T^n) is ln(a)+nln(T)