What is log_{10}((x^2-9)/(x-3)) ?

The solution to log_{10}((x^2-9)/(x-3)) is log_{10}(x+3)

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simplify log_{10}((x^2-9)/(x-3))

simplify

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

lo g_{10} (x + 3)

Solution steps

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

Factor

x^{2} - 9 : (x + 3) (x - 3)

= lo g_{10} (\frac{( x + 3 ) ( x - 3 )}{x - 3})

Cancel the common factor:

x - 3

= lo g_{10} (x + 3)

ln (11 x) - (5 ln (x) + 4 ln (3 y))

ln (\frac{1.148}{2.87})

\frac{e ln ( 90 ) + ln ( 6 )}{ln ( 3 ) + ln ( 20 )}

lo g_{b} (\frac{a b ^{3}}{c})

2 ln (a) - ln (2 b) + 2 ln (2)

What is log_{10}((x^2-9)/(x-3)) ?
The solution to log_{10}((x^2-9)/(x-3)) is log_{10}(x+3)