What is log_{c}(x^7y^6z) ?

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

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simplify log_{c}(x^7y^6z)

simplify

lo g_{c} (x^{7} y^{6} z)

7 lo g_{c} (x) + 6 lo g_{c} (y) + lo g_{c} (z)

Solution steps

lo g_{c} (x^{7} y^{6} z)

Apply log rule:

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

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

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

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

lo g_{c} (y^{6}) = 6 lo g_{c} (y)

= 7 lo g_{c} (x) + 6 lo g_{c} (y) + lo g_{c} (z)

lo g_{4} (2 x) + lo g_{4} (8 y)

lo g_{10} (x y^{8})

- lo g_{e} (0.917) - lo g_{e} (0.964)

lo g_{5} (x^{2}) + lo g_{5} (\frac{1}{x})

lo g_{b} (\frac{2.197}{2.079})

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