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

  • Thread starter thomasrules
  • Start date
In summary, the conversation involves solving for x in the equation 3(2)^x = 4(^x^+^1), with one person attempting to use the logarithm law to solve it and getting the wrong answer. The other person points out that the calculator can only handle logarithms to the bases e or 10, and asks for an explanation of how the correct logarithm laws were misapplied. It is then revealed that the wrong answer was due to a mistake in accounting for the number 3 in front of the equation. The conversation then shifts to discussing the use of certain blocked words and the need for filter improvements.
  • #1
thomasrules
243
0
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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  • #2
You do know that your calculator can only handle logarithms to the bases e or 10?
 
  • #3
yea so u got to find x
 
  • #4
Why do you believe:
[tex]\log(3*2^{x})=x\log(3*2)[/tex]?
 
  • #5
the way i wrote it, I used the logarithm law...
 
  • #6
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.
 
  • #7
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
 
  • #8
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]
 
  • #9
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.
 

1. What is the equation "xlog3(2)=(x+1)log4" asking me to solve for?

The equation is asking you to solve for the value of x that makes the two sides of the equation equal to each other.

2. How do I solve for x in this equation?

To solve for x, you can use the properties of logarithms to isolate x on one side of the equation. First, you can divide both sides by log3(2). Then, you can use the power rule to simplify the equation further. Finally, you can use algebraic techniques to solve for x.

3. What are the properties of logarithms that can help me solve this equation?

The properties of logarithms that can help you solve this equation include the power rule, quotient rule, and product rule. You can also use the fact that loga(b) = logc(b)/logc(a) to change the base of a logarithm.

4. Are there any special techniques I should use to solve this equation?

One helpful technique for solving this equation is to use the change of base formula to change the base of the logarithms to a common base. This can make it easier to simplify the equation and solve for x.

5. Is there only one solution to this equation?

No, there may be multiple solutions to this equation. However, it is important to check your solutions and make sure they are valid for the given equation, as some solutions may be extraneous.

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