× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
a
5
k
5
c
5
B
5
l
5
C
4
s
4
a
4
t
4
i
4
r
4
r
4
Home Q & A Board Science-Related Homework Help Mathematics Pre-calculus and Functions
New Topic  
Mathguy3000 Mathguy3000
wrote...
Posts: 15
Rep: 3 0
5 years ago
Log of base 2 (2x+4) - log of base 2 (x-1)= 3
Read 165 times
1 Reply

Related Topics

Replies
wrote...
#1
Educator
5 years ago
Done:

The two logs both have the same base, so you can apply the log rules:

\(\log _2\left(2x+4\right)-\log _2(x-1)=3\)

\(\log _2\left(\frac{2x+4}{x-1}\right)=3\)

\(\frac{2x+4}{x-1}=2^3\)

\(2x+4=8\left(x-1\right)\)

\(2x+4=8x-8\)

\(12=6x\)

\(2=x\)
New Topic      
Quick Reply
Explore
Post your homework questions and get free online help from our incredible volunteers
  908 People Browsing
Start New Topic Take the Tour CoursesNew Study Tools Topics Trending Browse by Textbook
Live Chat
Related Images
  
 370
  
 291
  
 257
Your Opinion
Which of the following is the best resource to supplement your studies:
Votes: 249
Previous poll results: Who will win the 2024 president election?