Question

PRE-CAL: if log x=a, log y=b and log c=z, write log sqrt10xyz in terms of a,b, and c

Answer 1

So, using the rules for logs, we can rewrite your logarithm. The specific rule I'm talking about is:

\[Log(abc) = Log(a)+Log(c)+Log(d)\]

First, use that to expand the log. You should end up with 4 different logs.

Answer 2

And I have a clarification question. Are you given:
\[Log(\sqrt{10xyz})\]
or
\[Log(\sqrt{10}xyz)\]

Answer 3

yes, thats wat was given the first one

Answer 4

\[\Large \log(\sqrt{10xyz}) = \log(10xyz)^{\frac 12} = \frac 12 \log(10xyz) = \]

Answer 5

\[\Large \frac 12\{\log(10) + \log(x) + \log(y) + \log(z)\}\]

Answer 6

Put log(x) = a; log(y) = b; log(z) = c above.

Answer 7

i'm a bit confuse with the last result u have set