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

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Homework Help Overview

The discussion revolves around solving the equation 3(2)^x = 4^(x+1), which involves logarithmic manipulation. The subject area includes algebra and logarithmic properties.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the application of logarithmic laws and question the original poster's manipulation of the equation. There are discussions about the limitations of calculators regarding logarithm bases and the correct application of logarithmic properties.

Discussion Status

The conversation includes attempts to clarify misunderstandings about logarithmic laws, with some participants providing guidance on how to properly apply these laws. Multiple interpretations of the problem are being explored, particularly regarding the impact of the coefficient in front of the logarithm.

Contextual Notes

There are indications of confusion regarding the application of logarithmic rules, and some participants express frustration over incorrect answers. The original poster's approach is questioned, and there is a mention of a deleted post that may have contained relevant information.

thomasrules
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Solve for X:

[tex]3(2)^x = 4(^x^+^1)[/tex]

I did:

[tex]xlog3(2)=(x+1)log4[/tex]

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:
[tex]\log(3*2^{x})=x\log(3*2)[/tex]?
 
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:

[tex]3(2)^x = 4(^x^+^1)[/tex]

I did:

[tex]xlog3(2)=(x+1)log4[/tex]

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:
[tex]\log(a*b)=??[/tex]
 
god damnit got the wrong answer again...

I thought u meant... [tex]loga+logb[/tex]
 
  • #10
Correct! So, if [itex]a=3, b=2^{x}[/itex],
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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