What is log_{9}(x+3)+log_{9}(4x) ?

The solution to log_{9}(x+3)+log_{9}(4x) is log_{9}((x+3)x)+log_{3}(2)

Popular >

simplify log_{9}(x+3)+log_{9}(4x)

simplify

lo g_{9} (x + 3) + lo g_{9} (4 x)

lo g_{9} ((x + 3) x) + lo g_{3} (2)

Solution steps

lo g_{9} (x + 3) + lo g_{9} (4 x)

Simplify

lo g_{9} (4 x) : lo g_{3} (2) + lo g_{9} (x)

= lo g_{9} (x + 3) + (lo g_{3} (2) + lo g_{9} (x))

Apply rule:

a + (b + c) = a + b + c

lo g_{9} (x + 3) + (lo g_{3} (2) + lo g_{9} (x)) = lo g_{9} (x + 3) + lo g_{3} (2) + lo g_{9} (x)

= lo g_{9} (x + 3) + lo g_{3} (2) + lo g_{9} (x)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{9} (x + 3) + lo g_{9} (x) = lo g_{9} ((x + 3) x)

= lo g_{9} ((x + 3) x) + lo g_{3} (2)

lo g_{2} (\frac{f}{8})

ln (x^{11} 4 - x)

\frac{( ln ( x + h ) - ln ( x ) )}{h}

lo g_{b} (\frac{3}{4})

lo g_{10} (\frac{85347 \cdot 15274}{125386})

What is log_{9}(x+3)+log_{9}(4x) ?
The solution to log_{9}(x+3)+log_{9}(4x) is log_{9}((x+3)x)+log_{3}(2)