Question

If 5^3b-1=5^b-3 what is the value of b? a. -2 b. -2 c. 1 d. 2

Answer 1

hello :
5^(3b-1)=5^(b-3)
3b-1 = b -3
2b = -2
b = -1

Answer 2

ANSWER


`b = - 1`

Step-by-step explanation

We want to find the value of b in the following exponential equation.


`{5}^(3b - 1) = {5}^(b - 3)`

Since the base on both sides of the equation are the same.


We equate the exponents to get,


`3b - 1 = b - 3`

We group like terms to obtain,



`3b - b = - 3 + 1`


This will simplify to,


`2b= - 2`

We now divide both sides by 2 to obtain,



`b = - 1`