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Popular >

simplify ln(a*x^a)

Solution

simplify

ln (a \cdot x^{a})

Solution

ln (a) + a ln (x)

Solution steps

ln (a x^{a})

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (a) + a ln (x)

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Frequently Asked Questions (FAQ)

What is ln(a*x^a) ?
The solution to ln(a*x^a) is ln(a)+aln(x)