Solving for X: xlog3(2)=(x+1)log4

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AI Thread Summary
The discussion revolves around solving the equation 3(2)^x = 4^(x+1) and the misapplication of logarithm laws. Participants clarify that the correct logarithmic transformation involves recognizing the base and applying the product rule properly. One user initially misapplies the logarithm, leading to incorrect results, but later realizes their mistake with guidance. There is also a side conversation about a deleted post and the need for improved content filtering on the forum. Ultimately, the focus remains on correctly solving the logarithmic equation.
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Solve for X:

3(2)^x = 4(^x^+^1)

I did:

xlog3(2)=(x+1)log4

and got the wrong answer
 
Last edited:
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You do know that your calculator can only handle logarithms to the bases e or 10?
 
yea so u got to find x
 
Why do you believe:
\log(3*2^{x})=x\log(3*2)?
 
the way i wrote it, I used the logarithm law...
 
thomasrules said:
the way i wrote it, I used the logarithm law...
No you didn't. You used your own recently invented logarithm "law"

Tell me how you misapplied the correct logarithm laws.
 
thomasrules said:
Solve for X:

3(2)^x = 4(^x^+^1)

I did:

xlog3(2)=(x+1)log4

and got the wrong answer

if that's not the way then how? its because of that stupid 3 in front
 
Correct!
It's because of that stupid 3 in front!

Now, if you have two numbers a,b, what can you say about:
\log(a*b)=??
 
god damnit got the wrong answer again...

I thought u meant... loga+logb
 
  • #10
Correct! So, if a=3, b=2^{x},
what do you get on the right-hand side of your equation when you take the log?
 
  • #11
Nevermind I Got It! Thanks You...i"m A Genious!
 
  • #12
haha court <3
 
  • #13
There WAS a post by courtigrad, I KNEW IT! He deleted it way too fast for me. :frown:

What was it about??
I will not rest until I find out..
 
  • #14
it was just a test... to see what words are blocked out.
 
  • #15
*****, ****, **** and so on?
 
  • #16
yes. just an experiment
 
  • #17
What were the words, did they get blocked?
 
  • #18
Definite need of filter improvement.
 
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