What is 1/2 log_{6}(x)+log_{6}(y) ?

The solution to 1/2 log_{6}(x)+log_{6}(y) is log_{6}(x^{1/2}y)

Popular >

simplify 1/2 log_{6}(x)+log_{6}(y)

simplify

\frac{1}{2} lo g_{6} (x) + lo g_{6} (y)

lo g_{6} (x^{\frac{1}{2}} y)

Solution steps

\frac{1}{2} lo g_{6} (x) + lo g_{6} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{1}{2} lo g_{6} (x) = lo g_{6} (x^{\frac{1}{2}})

= lo g_{6} (x^{\frac{1}{2}}) + lo g_{6} (y)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{6} (x^{\frac{1}{2}}) + lo g_{6} (y) = lo g_{6} (y x^{\frac{1}{2}})

= lo g_{6} (x^{\frac{1}{2}} y)

lo g_{5} (8) + lo g_{5} (3)

ln (6 a) - 4 ln (b) - ln (2 a)

0.0259 ln (\frac{2 \cdot 1 0 ^{5}}{2.8 \cdot 1 0 ^{19}})

lo g_{10} (x + 3) - lo g_{10} (2 x)

2 lo g_{10} (5) - \frac{1}{2} lo g_{10} (5)

What is 1/2 log_{6}(x)+log_{6}(y) ?
The solution to 1/2 log_{6}(x)+log_{6}(y) is log_{6}(x^{1/2}y)