+0  
 
0
45
1
avatar

What is 25 to the power of x equals a fifth

Guest Sep 22, 2017

Best Answer 

 #1
avatar+76929 
+3

 

Since  25 is a power of 5, the key here is to see if we can equate bases.....

 

25 = 1/5             note that 25  = 52    and  1/5  =  5-1  .....so we can write

 

(52)x   =  5-1

 

52x  = 5 -1         since the bases are the same, we can equate exponents

 

2x  = -1              divide both sides by 2

 

x  =  -1/2

 

 

 

 

cool cool cool

CPhill  Sep 22, 2017
edited by CPhill  Sep 22, 2017
Sort: 

1+0 Answers

 #1
avatar+76929 
+3
Best Answer

 

Since  25 is a power of 5, the key here is to see if we can equate bases.....

 

25 = 1/5             note that 25  = 52    and  1/5  =  5-1  .....so we can write

 

(52)x   =  5-1

 

52x  = 5 -1         since the bases are the same, we can equate exponents

 

2x  = -1              divide both sides by 2

 

x  =  -1/2

 

 

 

 

cool cool cool

CPhill  Sep 22, 2017
edited by CPhill  Sep 22, 2017

24 Online Users

avatar
avatar
avatar
avatar
avatar
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