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

 Feb 15, 2022

Best Answer 

 #1
avatar+726 
+2

I noticed I see five '5^b's. Thus, the equation would be:

\(5^{b+1}=25^{b-1}\)

 

25 = 5^2, so the equation would be:

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

 

Since they are equal and they have the same base, then:

b + 1 = 2b - 2.

 

Solving for b, we get \(b=3\).

 

smiley

 Feb 15, 2022
 #1
avatar+726 
+2
Best Answer

I noticed I see five '5^b's. Thus, the equation would be:

\(5^{b+1}=25^{b-1}\)

 

25 = 5^2, so the equation would be:

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

 

Since they are equal and they have the same base, then:

b + 1 = 2b - 2.

 

Solving for b, we get \(b=3\).

 

smiley

proyaop Feb 15, 2022

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