What is expand log_{6}(6ysqrt(wz)) ?

The solution to expand log_{6}(6ysqrt(wz)) is 1+log_{6}(y)+log_{6}(sqrt(wz))

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expand log_{6}(6ysqrt(wz))

expand

lo g_{6} (6 y w z)

1 + lo g_{6} (y) + lo g_{6} (w z)

Solution steps

lo g_{6} (6 y w z)

Apply log rule:

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

lo g_{6} (6 y w z) = lo g_{6} (6) + lo g_{6} (y) + lo g_{6} (w z)

= lo g_{6} (6) + lo g_{6} (y) + lo g_{6} (w z)

Apply log rule:

lo g_{a} (a) = 1

= 1 + lo g_{6} (y) + lo g_{6} (w z)

ln (2) + ln (4 x - 1)

- ln (x + 1) + ln (x - 1)

ln (x - 3) - ln (- 3 + x)

lo g_{2} (\frac{x ^{9}}{5 y})

2 ln (x) + 3 ln (1 + x) - 4 ln (2 + x)

What is expand log_{6}(6ysqrt(wz)) ?
The solution to expand log_{6}(6ysqrt(wz)) is 1+log_{6}(y)+log_{6}(sqrt(wz))