What is log_{5}(x-2)+log_{5}(x-6) ?

The solution to log_{5}(x-2)+log_{5}(x-6) is log_{5}((x-2)(x-6))

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simplify log_{5}(x-2)+log_{5}(x-6)

simplify

lo g_{5} (x - 2) + lo g_{5} (x - 6)

lo g_{5} ((x - 2) (x - 6))

Solution steps

lo g_{5} (x - 2) + lo g_{5} (x - 6)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{5} (x - 2) + lo g_{5} (x - 6) = lo g_{5} ((x - 2) (x - 6))

= lo g_{5} ((x - 2) (x - 6))

ln (\frac{y}{2 b ^{2}})

2 [3 ln (x) - ln (x + 6) - ln (x - 6)]

lo g_{10} (\frac{t}{11})

ln (\frac{x}{10})

ln (\frac{tan ( θ ) + sec ( θ )}{tan ( \frac{θ}{2} )})

What is log_{5}(x-2)+log_{5}(x-6) ?
The solution to log_{5}(x-2)+log_{5}(x-6) is log_{5}((x-2)(x-6))