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Popular >

simplify ln(abc)

Solution

simplify

ln (a \cdot b \cdot c)

Solution

ln (a) + ln (b) + ln (c)

Solution steps

ln (ab c)

Apply log rule:

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

ln (ab c) = ln (a) + ln (b) + ln (c)

= ln (a) + ln (b) + ln (c)

Popular Examples

simplify-ln(5)-1/4 ln(3)simplify

- ln (5) - \frac{1}{4} ln (3)

simplify ln(((x^5*z^5))/(y^{11)*w^{15}})simplify

ln (\frac{( x ^{5} \cdot z ^{5} )}{y ^{11} \cdot w ^{15}})

simplify (5ln(7))/(3ln(10)-ln(7))simplify

\frac{5 ln ( 7 )}{3 ln ( 10 ) - ln ( 7 )}

simplify 4.745+log_{10}((0.146)/(0.105))simplify

4.745 + lo g_{10} (\frac{0.146}{0.105})

simplify 3log_{10}(x)+4log_{10}(x-1)simplify

3 lo g_{10} (x) + 4 lo g_{10} (x - 1)

Frequently Asked Questions (FAQ)

What is ln(a*b*c) ?
The solution to ln(a*b*c) is ln(a)+ln(b)+ln(c)