Respuesta :
Answer:
b = -1
Step-by-step explanation:
[tex]5_{3b -1}[/tex] = [tex]5_{b-3}[/tex]
To find the value of b, we are going to follow the step below:
since we have 5 at the right hand-side and 5 at the left-hand side, they are going to cancel each other, so we will be dealing with just their base
3b - 1 = b - 3
Collect like term
(That is, take the variable with b to the left-hand side of the equation and take the numbers to the right-hand side of the equation)
3b - b = -3 + 1
2b = -2
Divide both-side of the equation by -2
[tex]\frac{2b}{2}[/tex] = [tex]\frac{-2}{2}[/tex]
(On the left-hand side of the equation, 2 on the numerator will cancel-out 2 at the denominator while on the right-hand side of the equation -2 will be divided by 2)
b = -1
