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Popular >

simplify ln(uv^3)

Solution

simplify

ln (u v^{3})

Solution

ln (u) + 3 ln (v)

Solution steps

ln (u v^{3})

Apply log rule:

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

ln (u v^{3}) = ln (u) + ln (v^{3})

= ln (u) + ln (v^{3})

Apply log rule:

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

ln (v^{3}) = 3 ln (v)

= ln (u) + 3 ln (v)

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Frequently Asked Questions (FAQ)

What is ln(uv^3) ?
The solution to ln(uv^3) is ln(u)+3ln(v)