Question

Need help with Algebra

Answer 1

post the question mate

Answer 2

expand the logarithmic expression
\[\log_{b}\sqrt{29/61}\]

Answer 3

You think you can help @thewonderfuladele

Answer 4

It looks like the two main principles at work here are \[\sqrt{x} = x^\frac{ 1 }{ 2 }\]
and \[\log_{b} (\frac{ y }{ x }) = \log_{b} (y) - \log_{b} (x)\]

Do you think you can figure it out from there?

Answer 5

or \[\log_{b}(29-61) \]

Answer 6

Almost,
\[\log_{b} \frac{ 29^\frac{ 1 }{ 2 } }{ 61^\frac{ 1 }{2 } }\]
from there, it apply the second rule of logarithms i showed before.

Answer 7

oh i get it now

Answer 8

Ok coo. post your final answer when you're done if you want me to check it. Also don't forget that

\[\log_{b} x^\frac{ 1 }{ 2 } = \frac{ 1 }{ 2 }\log_{b} x\]

Answer 9

\[\frac{ 1 }{ 2 } \log_{b} 29+\frac{ 1 }{ 2 } \log_{b} 61\]

Answer 10

Double check the second rule I posted =p Watch your signs. You are very close

Answer 11

oh yeah - not +

Answer 12

Yup, you got it! Nice!