Question

Please help with me with this problem:

Wite the expression in condensed form:

1/2logx -log y + log z

I am getting log(square root of x / yz)

Answer 1

z should be up top

Answer 2

1/2 log z = log z^(1/2)

now use the other laws of logs

log x - log y = = log x/y
and log x + log y = log xy

Answer 3

if it had been \(\frac{1}{2}\log(x)-\left(\log( y) + \log( z )\right)\) you would have been correct

Answer 4

hope that is clear, it is like an "order of operations" question
you are adding \(\log(z)\) not subtracting it
so the \(z\) should be in the numerator, not the denominator
just like \(10-4+3\) means first subtract 4, then add 3

Answer 5

Thanks for the help

Answer 6

yw