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Popular >

simplify ln(ab^3)

Solution

simplify

ln (a b^{3})

Solution

ln (a) + 3 ln (b)

Solution steps

ln (a b^{3})

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (a) + 3 ln (b)

Popular Examples

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- lo g_{10} (7.9 \cdot 1 0^{- 4})

Frequently Asked Questions (FAQ)

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