Logs question help

[Johnny79]

Need some help with maths question please.

simplify expression: logx + logx^2 - log√x

thanks

 

[tkhunny]

You posted in "Calculus". You would do well to get your logarithms up to speed,

log(x) + log(y) = log(What?)

 

[Johnny79]

would it be log x^4

 

[tkhunny]

Why not tell us how you came to that conclusion? What rules did you use and how did you use them?

 

[Johnny79]

I mean it would be 2.5logx

 

[pka]

I mean it would be\(\displaystyle 2.5 \log x\)

That is correct. But here are some niceties.
\(\displaystyle \begin{align*}\log(x)+\log(x^2)-\log(\sqrt x)&=\log(x)+2\log(x)-\tfrac{1}{2}\log(x)\\&=\tfrac{5}{2}\log(x) \end{align*}\)

Please note the notation. In particular the logarithm is a function and deserves function notation \(\displaystyle \large\log(x)\).