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Popular >

simplify ln(kx^y)

Solution

simplify

ln (k x^{y})

Solution

ln (k) + y ln (x)

Solution steps

ln (k x^{y})

Apply log rule:

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

ln (k x^{y}) = ln (k) + ln (x^{y})

= ln (k) + ln (x^{y})

Apply log rule:

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

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

= ln (k) + y ln (x)

Popular Examples

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ln (a) - 2 ln (b) + 3 ln (c)

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simplify 30log_{16}(-20log_{16}(x))simplify

30 lo g_{16} (- 20 lo g_{16} (x))

Frequently Asked Questions (FAQ)

What is ln(kx^y) ?
The solution to ln(kx^y) is ln(k)+yln(x)