Solve for x in this logarithm question

  • Thread starter Thread starter tpent
  • Start date Start date
  • Tags Tags
    Logarithm
Click For Summary

Homework Help Overview

The problem involves solving a logarithmic equation of the form log2(x^3) - 3 = 2log2(x). Participants are exploring the properties of logarithms in relation to this equation.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • One participant considers whether to expand x to the power of 3 within the logarithm, questioning if this leads to 3log2(x). Another suggests moving all logarithmic terms to one side and adjusting the equation accordingly.

Discussion Status

The discussion includes attempts to manipulate the logarithmic equation, with some participants providing guidance on how to rearrange the terms. There is an indication of a potential solution being proposed, but no consensus on the approach has been reached.

Contextual Notes

Participants are working within the constraints of the homework problem, with no additional equations provided. There is a lack of explicit consensus on the steps to take, and some assumptions about logarithmic properties are being questioned.

tpent
Messages
3
Reaction score
0

Homework Statement


log2(x3)-3= 2log2x

Homework Equations


None

The Attempt at a Solution


Do I start by expanding the x to the power 3 to the log which then makes it 3log2x? or am I totally off track?
Any help is greatly appreciated. Thanks
 
Physics news on Phys.org
tpent said:

Homework Statement


log2(x3)-3= 2log2x



Homework Equations


None


The Attempt at a Solution


Do I start by expanding the x to the power 3 to the log which then makes it 3log2x? or am I totally off track?
Any help is greatly appreciated. Thanks
That's a good start. Then move all your log terms to one side and add 3 to both sides.
 
x=8 ?
 
Yes. Here's the check (which you could have done for yourself):

If x = 8, the left side is log2(83) - 3 = 3log2(8) - 3 = 3*3 - 3 = 9 - 3 = 6.
The right side is 2 log2(8) = 2*3 = 6.
 
thank you god bless
 

Similar threads

Replies
7
Views
2K
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
4
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
Replies
10
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K