What is 6log_{7}(x)+2log_{7}(y) ?

The solution to 6log_{7}(x)+2log_{7}(y) is log_{7}(x^6y^2)

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simplify 6log_{7}(x)+2log_{7}(y)

simplify

6 lo g_{7} (x) + 2 lo g_{7} (y)

lo g_{7} (x^{6} y^{2})

Solution steps

6 lo g_{7} (x) + 2 lo g_{7} (y)

Apply log rule:

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

6 lo g_{7} (x) = lo g_{7} (x^{6})

= lo g_{7} (x^{6}) + 2 lo g_{7} (y)

Apply log rule:

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

2 lo g_{7} (y) = lo g_{7} (y^{2})

= lo g_{7} (x^{6}) + lo g_{7} (y^{2})

Apply log rule:

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

lo g_{7} (x^{6}) + lo g_{7} (y^{2}) = lo g_{7} (x^{6} y^{2})

= lo g_{7} (x^{6} y^{2})

2 ln (\frac{5}{2})

ln (\frac{750}{3000})

7 ln (6) - 7 ln (3)

ln (2 e^{\frac{x}{y}})

ln (12 t)

What is 6log_{7}(x)+2log_{7}(y) ?
The solution to 6log_{7}(x)+2log_{7}(y) is log_{7}(x^6y^2)