What is log_{b}(x^3)+log_{b}(y) ?

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

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simplify log_{b}(x^3)+log_{b}(y)

simplify

lo g_{b} (x^{3}) + lo g_{b} (y)

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

Solution steps

lo g_{b} (x^{3}) + lo g_{b} (y)

Apply log rule:

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

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

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

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

lo g_{10} (x^{2} - x - 12) - lo g_{10} (x^{2} - 7 x + 12)

lo g_{4} (x) - lo g_{4} (7 y)

lo g_{7} (3 x^{4} y^{3}) - lo g_{7} (5 x^{6} y^{3})

- lo g_{10} (1.6 \cdot 1 0^{- 2})

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