Question

If 5 Superscript 3 b minus 1 Baseline = 5 Superscript b minus 3, what is the value of b?

Answer 1

Answer:

-1

Step-by-step explanation:

Answer 2

Answer:

b = -1

Step-by-step explanation:

$5_{3b -1}$ =  $5_{b-3}$

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

$\frac{2b}{2}$  = $\frac{-2}{2}$

(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