+0  
 
+5
294
1
avatar
log(x-2)+log 5=log 100
Guest Feb 3, 2012
 #1
avatar
0

log(x-2)+log(5)=log(100)

 

First evaluate the log of 100, which is 2.

 

log(x-2)+log(5)=2

 

Now we can combine the logs using the log product rule.

 

log(5x-10)=2

 

Since there is no subscript, the base is 10. The inverse of log10(x) is the exponential 10x.

 

10log(5x-10)=102

 

The base 10 and the log will cancel each other.

 

5x-10=100

 

Next add 10 to both sides

 

5x=110

 

Finally divide both sides by 5

 

x=22

 

Now to check the work input 22 for x.

 

log(5(22)-10)=log(100)

log(110-10)=2

log(100)=2

2=2

Guest Feb 6, 2017

9 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.