What is log_{a}((x+y)/z) ?

The solution to log_{a}((x+y)/z) is log_{a}(x+y)-log_{a}(z)

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simplify log_{a}((x+y)/z)

simplify

lo g_{a} (\frac{x + y}{z})

lo g_{a} (x + y) - lo g_{a} (z)

Solution steps

lo g_{a} (\frac{x + y}{z})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{a} (\frac{x + y}{z}) = lo g_{a} (x + y) - lo g_{a} (z)

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

ln (4 x)

lo g_{10} (\frac{x ^{2} + 9}{x + 3})

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

lo g_{7} ((\frac{1}{2} m^{5})^{4})

lo g_{10} ((x + 2)^{2}) + lo g_{10} ((x + 1)^{3})

What is log_{a}((x+y)/z) ?
The solution to log_{a}((x+y)/z) is log_{a}(x+y)-log_{a}(z)