What is log_{5}(x+6)-log_{5}(4) ?

The solution to log_{5}(x+6)-log_{5}(4) is log_{5}((x+6)/4)

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simplify log_{5}(x+6)-log_{5}(4)

simplify

lo g_{5} (x + 6) - lo g_{5} (4)

lo g_{5} (\frac{x + 6}{4})

Solution steps

lo g_{5} (x + 6) - lo g_{5} (4)

Apply log rule:

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

lo g_{5} (x + 6) - lo g_{5} (4) = lo g_{5} (\frac{x + 6}{4})

= lo g_{5} (\frac{x + 6}{4})

\frac{7.2}{150} ln (\frac{1}{0.03})

\frac{1}{2} lo g_{10} (9 x - 6) - \frac{1}{2} lo g_{10} (x + 6)

2 ln (x^{3} + 2) + 2 - 2 ln (- x^{2} + 2 x + 2) - 2

lo g_{5} (x + 3) + lo g_{5} (x - 3)

lo g_{12} (\frac{1}{2}) - lo g_{12} (8) + lo g_{12} (w)

What is log_{5}(x+6)-log_{5}(4) ?
The solution to log_{5}(x+6)-log_{5}(4) is log_{5}((x+6)/4)