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Popular >

simplify ln(((a+b)^2)/c)

Solution

simplify

ln (\frac{( a + b ) ^{2}}{c})

Solution

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

Solution steps

ln (\frac{( a + b ) ^{2}}{c})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{( a + b ) ^{2}}{c}) = ln ((a + b)^{2}) - ln (c)

= ln ((a + b)^{2}) - ln (c)

Apply log rule:

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

ln ((a + b)^{2}) = 2 ln (a + b)

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

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Frequently Asked Questions (FAQ)

What is ln(((a+b)^2)/c) ?
The solution to ln(((a+b)^2)/c) is 2ln(a+b)-ln(c)