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Popular >

simplify ln(3a^b)

Solution

simplify

ln (3 a^{b})

Solution

ln (3) + b ln (a)

Solution steps

ln (3 a^{b})

Apply log rule:

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

ln (3 a^{b}) = ln (3) + ln (a^{b})

= ln (3) + ln (a^{b})

Apply log rule:

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

ln (a^{b}) = b ln (a)

= ln (3) + b ln (a)

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Frequently Asked Questions (FAQ)

What is ln(3a^b) ?
The solution to ln(3a^b) is ln(3)+bln(a)