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Popular >

simplify log_{3}(x^3y^4)

Solution

simplify

lo g_{3} (x^{3} y^{4})

Solution

3 lo g_{3} (x) + 4 lo g_{3} (y)

Solution steps

lo g_{3} (x^{3} y^{4})

Apply log rule:

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

lo g_{3} (x^{3} y^{4}) = lo g_{3} (x^{3}) + lo g_{3} (y^{4})

= lo g_{3} (x^{3}) + lo g_{3} (y^{4})

lo g_{3} (x^{3}) = 3 lo g_{3} (x)

lo g_{3} (y^{4}) = 4 lo g_{3} (y)

= 3 lo g_{3} (x) + 4 lo g_{3} (y)

Popular Examples

simplify log_{10}(6)(k^2-36)-log_{10}(6k)-6 simplify

lo g_{10} (6) (k^{2} - 36) - lo g_{10} (6 k) - 6

simplify log_{10}(z)-log_{10}(2y)simplify

lo g_{10} (z) - lo g_{10} (2 y)

simplify 1/2 log_{10}(2x)-5/2 log_{10}(y)simplify

\frac{1}{2} lo g_{10} (2 x) - \frac{5}{2} lo g_{10} (y)

simplify 2ln(x-1)+3ln(4)-ln(x)simplify

2 ln (x - 1) + 3 ln (4) - ln (x)

simplify ln(2*x)simplify

ln (2 \cdot x)

Frequently Asked Questions (FAQ)

What is log_{3}(x^3y^4) ?
The solution to log_{3}(x^3y^4) is 3log_{3}(x)+4log_{3}(y)