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Popular >

simplify ln(4x^2)+ln(3x^3)

Solution

simplify

ln (4 x^{2}) + ln (3 x^{3})

Solution

ln (12 x^{5})

Solution steps

ln (4 x^{2}) + ln (3 x^{3})

Apply log rule:

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

ln (4 x^{2}) + ln (3 x^{3}) = ln (4 \cdot 3 x^{3} x^{2})

= ln (4 \cdot 3 x^{3} x^{2})

Simplify

4 x^{2} \cdot 3 x^{3} : 12 x^{5}

= ln (12 x^{5})

Popular Examples

domain of f(x)=log_{10}((10)/x)-2-2log_{10}(x)domain

f (x) = lo g_{10} (\frac{10}{x}) - 2 - 2 lo g_{10} (x)

expand log_{10}(5/x)expand

lo g_{10} (\frac{5}{x})

simplify ln(x^5sqrt(7-x))simplify

ln (x^{5} 7 - x)

domain of f(x)=log_{4}(x^2-25)-log_{4}(x-5)domain

f (x) = lo g_{4} (x^{2} - 25) - lo g_{4} (x - 5)

simplify log_{10}(x)-5log_{10}(y)+7log_{10}(z)simplify

lo g_{10} (x) - 5 lo g_{10} (y) + 7 lo g_{10} (z)

Frequently Asked Questions (FAQ)

What is ln(4x^2)+ln(3x^3) ?
The solution to ln(4x^2)+ln(3x^3) is ln(12x^5)