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Popular >

simplify 2ln(x)+2ln(y)

Solution

simplify

2 ln (x) + 2 ln (y)

Solution

ln (x^{2} y^{2})

Solution steps

2 ln (x) + 2 ln (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

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

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

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

Popular Examples

simplify-log_{10}(5.5*10^{-3})simplify

- lo g_{10} (5.5 \cdot 1 0^{- 3})

expand ln((2y^2)/(z^3))expand

ln (\frac{2 y ^{2}}{z ^{3}})

simplify 2log_{3}(0.5)+2log_{3}(5)-2log_{3}(5/6)simplify

2 lo g_{3} (0.5) + 2 lo g_{3} (5) - 2 lo g_{3} (\frac{5}{6})

simplify ln(x/((x+2)^2))simplify

ln (\frac{x}{( x + 2 ) ^{2}})

simplify 0.94*ln(3*10^6)+0.06ln(6000)simplify

0.94 \cdot ln (3 \cdot 1 0^{6}) + 0.06 ln (6000)

Frequently Asked Questions (FAQ)

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