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Popular >

expand ln(xyz^2)

Solution

expand

ln (x y z^{2})

Solution

ln (x) + ln (y) + 2 ln (z)

Solution steps

ln (x y z^{2})

Apply log rule:

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

ln (x y z^{2}) = ln (x) + ln (y) + ln (z^{2})

= ln (x) + ln (y) + ln (z^{2})

Apply log rule:

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

ln (z^{2}) = 2 ln (z)

= ln (x) + ln (y) + 2 ln (z)

Popular Examples

simplify 6log_{b}(x)+7log_{b}(z)simplify

6 lo g_{b} (x) + 7 lo g_{b} (z)

expand log_{2}((sqrt(a-1))/9)expand

lo g_{2} (\frac{a - 1}{9})

simplify log_{10}(2pi)simplify

lo g_{10} (2 π)

simplify 3.3+log_{10}((0.3-0.05)/(0.25+0.05))simplify

3.3 + lo g_{10} (\frac{0.3 - 0.05}{0.25 + 0.05})

simplify-log_{10}(1.5*10^{-4})simplify

- lo g_{10} (1.5 \cdot 1 0^{- 4})

Frequently Asked Questions (FAQ)

What is expand ln(xyz^2) ?
The solution to expand ln(xyz^2) is ln(x)+ln(y)+2ln(z)