+0  
 
0
1045
2
avatar

Use the change of base formula to approximate the solution to log0.515 = 1 – 2x. Round to the nearest hundredth.

Guest Jun 9, 2015

Best Answer 

 #1
avatar+78719 
+10

I'm not sure that the change of base formula would do much good here, since we're already using base 10....here's my approach...

 

log0.515 = 1 – 2x     and we can write

 

log0.515  = log 10 - 2x    rearrange

 

2x = log 10  - log0.515

 

2x = log (10/0.515)    divide both sides by 2

 

x = log(10/0.515)/ 2   ≈ 1.288  ≈  1.29 to the nearest hundredth

 

 

CPhill  Jun 10, 2015
Sort: 

2+0 Answers

 #1
avatar+78719 
+10
Best Answer

I'm not sure that the change of base formula would do much good here, since we're already using base 10....here's my approach...

 

log0.515 = 1 – 2x     and we can write

 

log0.515  = log 10 - 2x    rearrange

 

2x = log 10  - log0.515

 

2x = log (10/0.515)    divide both sides by 2

 

x = log(10/0.515)/ 2   ≈ 1.288  ≈  1.29 to the nearest hundredth

 

 

CPhill  Jun 10, 2015
 #2
avatar+91039 
0

Hi Chris

I couldn't work out what was wanted either  

Your answer is a good one though. 

Melody  Jun 10, 2015

23 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details