Question

Expand log: log√(x^7y)/z^5

Answer 1

\[\log \sqrt{x^{7}y/z^{5}}\]

Answer 2

anyone?

Answer 3

cmon help me out

Answer 4

\[\log \sqrt{\frac{ x^7y }{ z^5 }}\] is this it?

Answer 5

yea lol couldnt figure out how to write it that way

Answer 6

\[\log x^a = a \log x\text{, }\log (u\cdot v)= \log u + \log v\text{, }\log \left( \frac{ u }{ v } \right)= \log u - \log v\]

Answer 7

use the properties of logs... first rewrite the square root using an exponent

Answer 8

btw \frac {numerator}{denominator} to write a fraction in the equation editor

Answer 9

so it would be \[\frac {7\log(x) +\log(y) -5\log(z)}{2}\] ?

Answer 10

there you go...

i'd write it like this:
\[\frac{ 7 }{ 2 }\log x +\frac{ 1 }{ 2 }\log y - \frac{ 5 }{ 2 }\log z\]
but that's just me. your way is perfectly a okay!

Answer 11

awesome thanks man

Answer 12

remember, logs are just exponents so if you remember the properties of exponents, then you already know the properties of logs

Answer 13

thats true