What is 2log_{3}(x)+4log_{3}(y) ?

The solution to 2log_{3}(x)+4log_{3}(y) is log_{3}(x^2y^4)

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simplify 2log_{3}(x)+4log_{3}(y)

simplify

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

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

Solution steps

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

Apply log rule:

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

2 lo g_{3} (x) = lo g_{3} (x^{2})

= lo g_{3} (x^{2}) + 4 lo g_{3} (y)

Apply log rule:

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

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

= lo g_{3} (x^{2}) + lo g_{3} (y^{4})

Apply log rule:

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

lo g_{3} (x^{2}) + lo g_{3} (y^{4}) = lo g_{3} (x^{2} y^{4})

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

ln (\frac{ln ( x )}{x - 1})

lo g_{5} (8) - lo g_{5} (11)

lo g_{10} (\frac{7}{8})

3 lo g_{10} (d) + lo g_{10} (g)

lo g_{5} (x^{2} - 6 x - 7) - lo g_{5} (x + 1)

What is 2log_{3}(x)+4log_{3}(y) ?
The solution to 2log_{3}(x)+4log_{3}(y) is log_{3}(x^2y^4)