+0  
 
+1
34
2
avatar

What is the value of b if 5^b + 5^b + 5^b + 5^b + 5^b = 25^(b - 1).

 Jul 14, 2021

Best Answer 

 #1
avatar+86 
+3

Answer: \(3\)

 

Solution:

\(5^b\cdot5\) (essentially what you wrote except using multiplication) can be turned into \(5^{b+1}\)\(25^{b-1}\) can be turned into \(5^{2(b-1)}\), or \(5^{2b-2}\). Now you have to set these two equal to each other:

 

\(5^{b+1}\)\(5^{2b-2}\)

 

You can get rid of the base, because they're the same.

 

\(b+1=2b-2\)

 

Subtracting \(b\) from both sides and adding 2 gives \(b=3\)

 Jul 14, 2021
 #1
avatar+86 
+3
Best Answer

Answer: \(3\)

 

Solution:

\(5^b\cdot5\) (essentially what you wrote except using multiplication) can be turned into \(5^{b+1}\)\(25^{b-1}\) can be turned into \(5^{2(b-1)}\), or \(5^{2b-2}\). Now you have to set these two equal to each other:

 

\(5^{b+1}\)\(5^{2b-2}\)

 

You can get rid of the base, because they're the same.

 

\(b+1=2b-2\)

 

Subtracting \(b\) from both sides and adding 2 gives \(b=3\)

WhyamIdoingthis Jul 14, 2021
 #2
avatar+121008 
+1

Very nice, WhyamIdoingthis....!!!!

 

 

cool cool cool

CPhill  Jul 14, 2021

15 Online Users

avatar