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Popular >

simplify 3ln(x)+5ln(y)

Solution

simplify

3 ln (x) + 5 ln (y)

Solution

ln (x^{3} y^{5})

Solution steps

3 ln (x) + 5 ln (y)

Apply log rule:

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

3 ln (x) = ln (x^{3})

= ln (x^{3}) + 5 ln (y)

Apply log rule:

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

5 ln (y) = ln (y^{5})

= ln (x^{3}) + ln (y^{5})

Apply log rule:

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

ln (x^{3}) + ln (y^{5}) = ln (x^{3} y^{5})

= ln (x^{3} y^{5})

Popular Examples

simplify log_{10}((6z)/(10))simplify

lo g_{10} (\frac{6 z}{10})

expand log_{b}((xy)/z)expand

lo g_{b} (\frac{x y}{z})

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

ln (3) + 4 ln (2)

simplify ln(k*x^n)simplify

ln (k \cdot x^{n})

domain of f(x)=log_{10}(x^4)-log_{10}(x^3)domain

f (x) = lo g_{10} (x^{4}) - lo g_{10} (x^{3})

Frequently Asked Questions (FAQ)

What is 3ln(x)+5ln(y) ?
The solution to 3ln(x)+5ln(y) is ln(x^3y^5)