Logs

[Phloem]

Suppose that u=log(4) and v=log(5). Find possible formulas for the following expressions in terms of u and/or v. Your answers should NOT involve any logs.

log(0.8)=_________


I am trying to get caught up in college algebra after loosing my mother a few weeks ago, all I seem to be doing is beating myself up trying to solve this. Can anyone please help?

 

[Nehushtan]

Hint: \(\displaystyle 0.8=4\times5^{-1}\).

 

[JeffM]

Suppose that u=log(4) and v=log(5). Find possible formulas for the following expressions in terms of u and/or v. Your answers should NOT involve any logs.

log(0.8)=_________


I am trying to get caught up in college algebra after loosing my mother a few weeks ago, all I seem to be doing is beating myself up trying to solve this. Can anyone please help?

This is a VERY badly worded problem. What I think it means is that the right hand side of the equation should not explicitly reference a log function. If that is the correct interpretation, then the previous poster gave you the correct hint, and you are suffering a psychological block.

\(\displaystyle log(0.8) = log\left(\dfrac{4}{5}\right) = log(4) - log(5) \implies\)

\(\displaystyle log(0.8) = u - v.\)

 

[Phloem]

Hint: \(\displaystyle 0.8=4\times5^{-1}\).

Thanks but I have tried that, doesn't work for logs. Or at least it isn't for me.

 

[Phloem]

This is a VERY badly worded problem. What I think it means is that the right hand side of the equation should not explicitly reference a log function. If that is the correct interpretation, then the previous poster gave you the correct hint, and you are suffering a psychological block.

\(\displaystyle log(0.8) = log\left(\dfrac{4}{5}\right) = log(4) - log(5) \implies\)

\(\displaystyle log(0.8) = u - v.\)

Thank you. I could have swore I had entered that earlier and the website siad I was wrong, but after trying it agin it accepted it. Computers, when they work they are great but when they don't. Man what a headache..