Log and expo Q's (1 Viewer)

[darlking]

Simplify log(base4)9 + log(base2)3?

 

[asianese]

 

[darlking]

Thanks, but i don't understand the first half, from let x to the arrow x= log(base)3. Can you explain it?

 

[darlking]

Oh nevermind. i got it. you did that part to simply it so it can match the 2nd one right? then change it to that form again. Ok i got it. But confirm for me?

 

[asianese]

Yeah. I can see that 9 is a square number and is related to 3, and 2 is related to 4 by squares. It is more natural to 'simplify' the 'larger' log so that's what I did.

 

[darlking]

But what do you mean by the 2^x >0 for all x? Why?

 

[asianese]

If you insert any number into the 'x', 2^x is always above 0. Check out this: http://www.wolframalpha.com/input/?i=plot 2^x&t=crmtb01

Any exponential function is positive.

 

[darlking]

Oh ok, sure i get ya