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Popular >

simplify ln(ax^b)

Solution

simplify

ln (a x^{b})

Solution

ln (a) + b ln (x)

Solution steps

ln (a x^{b})

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (a) + b ln (x)

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Frequently Asked Questions (FAQ)

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