What is log_{10}((x(x+3))/((x+5)^9)) ?

The solution to log_{10}((x(x+3))/((x+5)^9)) is log_{10}(x)+log_{10}(x+3)-9log_{10}(x+5)

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simplify log_{10}((x(x+3))/((x+5)^9))

simplify

lo g_{10} (\frac{x ( x + 3 )}{( x + 5 ) ^{9}})

lo g_{10} (x) + lo g_{10} (x + 3) - 9 lo g_{10} (x + 5)

Solution steps

lo g_{10} (\frac{x ( x + 3 )}{( x + 5 ) ^{9}})

Apply log rule:

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

lo g_{10} (\frac{x ( x + 3 )}{( x + 5 ) ^{9}}) = lo g_{10} (x (x + 3)) - lo g_{10} ((x + 5)^{9})

= lo g_{10} (x (x + 3)) - lo g_{10} ((x + 5)^{9})

lo g_{10} (x (x + 3)) = lo g_{10} (x) + lo g_{10} (x + 3)

lo g_{10} ((x + 5)^{9}) = 9 lo g_{10} (x + 5)

= lo g_{10} (x) + lo g_{10} (x + 3) - 9 lo g_{10} (x + 5)

e^{\frac{l n ( 3 ) - l n ( 8 ) + l n ( 25 ) - l n ( 6 )}{2}}

lo g_{10} (\frac{5 x + 7}{2})

lo g_{2} (8 d)

lo g_{h} (9 jk)

lo g_{10} (\frac{2}{λ} (1 - y)^{\frac{( 2 - λ )}{λ}})

What is log_{10}((x(x+3))/((x+5)^9)) ?
The solution to log_{10}((x(x+3))/((x+5)^9)) is log_{10}(x)+log_{10}(x+3)-9log_{10}(x+5)