What is log_{10}((x(x+4))/((x+6)^9)) ?

The solution to log_{10}((x(x+4))/((x+6)^9)) is log_{10}(x)+log_{10}(x+4)-9log_{10}(x+6)

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simplify log_{10}((x(x+4))/((x+6)^9))

simplify

lo g_{10} (\frac{x ( x + 4 )}{( x + 6 ) ^{9}})

lo g_{10} (x) + lo g_{10} (x + 4) - 9 lo g_{10} (x + 6)

Solution steps

lo g_{10} (\frac{x ( x + 4 )}{( x + 6 ) ^{9}})

Apply log rule:

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

lo g_{10} (\frac{x ( x + 4 )}{( x + 6 ) ^{9}}) = lo g_{10} (x (x + 4)) - lo g_{10} ((x + 6)^{9})

= lo g_{10} (x (x + 4)) - lo g_{10} ((x + 6)^{9})

lo g_{10} (x (x + 4)) = lo g_{10} (x) + lo g_{10} (x + 4)

lo g_{10} ((x + 6)^{9}) = 9 lo g_{10} (x + 6)

= lo g_{10} (x) + lo g_{10} (x + 4) - 9 lo g_{10} (x + 6)

lo g_{10} (x) - 4 lo g_{10} (y) + 2 lo g_{10} (z)

ln (\frac{( 3 b ^{2} + 21 b )}{( 11 b + 77 )})

ln^{2} (e^{2} + 2 - 2) + \frac{1}{2} - ln^{2} (- 1)

4 ln (\frac{3}{2})

ln (x - 155) - ln (53 - 155)

What is log_{10}((x(x+4))/((x+6)^9)) ?
The solution to log_{10}((x(x+4))/((x+6)^9)) is log_{10}(x)+log_{10}(x+4)-9log_{10}(x+6)