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

$b = - 1$

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,


$b = - 1$