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Popular >

simplify log_{d}(u^3v^2)

Solution

simplify

lo g_{d} (u^{3} v^{2})

Solution

3 lo g_{d} (u) + 2 lo g_{d} (v)

Solution steps

lo g_{d} (u^{3} v^{2})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{d} (u^{3} v^{2}) = lo g_{d} (u^{3}) + lo g_{d} (v^{2})

= lo g_{d} (u^{3}) + lo g_{d} (v^{2})

lo g_{d} (u^{3}) = 3 lo g_{d} (u)

lo g_{d} (v^{2}) = 2 lo g_{d} (v)

= 3 lo g_{d} (u) + 2 lo g_{d} (v)

Popular Examples

simplify 6log_{6}(x)-5log_{6}(y)simplify

6 lo g_{6} (x) - 5 lo g_{6} (y)

simplify ln(27/4)simplify

ln (\frac{27}{4})

simplify log_{10}((10x)/3)simplify

lo g_{10} (\frac{10 x}{3})

simplify 2log_{a}(x)-4log_{a}(y^3)simplify

2 lo g_{a} (x) - 4 lo g_{a} (y^{3})

simplify log_{9}(9x^4)+log_{sqrt(3)}(sqrt(x))simplify

lo g_{9} (9 x^{4}) + lo g_{3} (x)

Frequently Asked Questions (FAQ)

What is log_{d}(u^3v^2) ?
The solution to log_{d}(u^3v^2) is 3log_{d}(u)+2log_{d}(v)