Solution of \log (x)+\log (x^2-16)-\log (11)-\log (x+4)

\log_{10}{\left(\frac{x^{2}-4x}{11}\right)}

Solve log (x)+log (x^2-16)-log (11)-log (x+4)

Evaluate

lo g_{10} (x) + lo g_{10} (x^{2} - 16) - lo g_{10} (11) - lo g_{10} (x + 4)

Use lo g_{a} x + lo g_{a} y = lo g_{a} x y to transform the expression

lo g_{10} (x (x^{2} - 16)) - lo g_{10} (11) - lo g_{10} (x + 4)

Use lo g_{a} x - lo g_{a} y = lo g_{a} \frac{x}{y} to transform the expression

lo g_{10} (\frac{x ( x ^{2} - 16 )}{11}) - lo g_{10} (x + 4)

Use lo g_{a} x - lo g_{a} y = lo g_{a} \frac{x}{y} to transform the expression

lo g_{10} \frac{\frac{x ( x ^{2} - 16 )}{11}}{x + 4}

Divide the terms

More Steps

lo g_{10} (\frac{x ( x - 4 )}{11})

Solution

More Steps

lo g_{10} (\frac{x ^{2} - 4 x}{11})