What is log_{81}(((sqrt(x-5)))/(3(x+4)^5)) ?

The solution to log_{81}(((sqrt(x-5)))/(3(x+4)^5)) is log_{81}(sqrt(x-5))-(20log_{81}(x+4)+1)/4

Popular >

simplify log_{81}(((sqrt(x-5)))/(3(x+4)^5))

simplify

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

lo g_{81} (x - 5) - \frac{20 lo g _{81} ( x + 4 ) + 1}{4}

Solution steps

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

Apply log rule:

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

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

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

Simplify

lo g_{81} (3 (x + 4)^{5}) : \frac{20 lo g _{81} ( x + 4 ) + 1}{4}

= lo g_{81} (x - 5) - \frac{20 lo g _{81} ( x + 4 ) + 1}{4}

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

lo g_{b} (mn)

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

lo g_{2} (3 x + 1) - 3 lo g_{4} (x^{2}) + 2 lo g_{2} (x)

lo g_{10} (\frac{z y ^{3}}{x})

What is log_{81}(((sqrt(x-5)))/(3(x+4)^5)) ?
The solution to log_{81}(((sqrt(x-5)))/(3(x+4)^5)) is log_{81}(sqrt(x-5))-(20log_{81}(x+4)+1)/4