What is log_{5}((25)/(sqrt(x+6))) ?

The solution to log_{5}((25)/(sqrt(x+6))) is 2-log_{5}(sqrt(x+6))

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simplify log_{5}((25)/(sqrt(x+6)))

simplify

lo g_{5} (\frac{25}{x + 6})

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

Solution steps

lo g_{5} (\frac{25}{x + 6})

Apply log rule:

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

lo g_{5} (\frac{25}{x + 6}) = lo g_{5} (25) - lo g_{5} (x + 6)

= lo g_{5} (25) - lo g_{5} (x + 6)

lo g_{5} (25) = 2

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

ln (y) + ln (x + 1)

lo g_{81} (\frac{( x - 5 )}{3 ( x + 4 ) ^{5}})

lo g_{9} (5) + lo g_{9} (x + 1)

lo g_{b} (mn)

lo g_{a} (1.1) + lo g_{a} (3.9)

What is log_{5}((25)/(sqrt(x+6))) ?
The solution to log_{5}((25)/(sqrt(x+6))) is 2-log_{5}(sqrt(x+6))