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What is 25 to the power of x equals a fifth

 Sep 22, 2017

Best Answer 

 #1
avatar+98044 
+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

 Sep 22, 2017
edited by CPhill  Sep 22, 2017
 #1
avatar+98044 
+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

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