Question

Determine the value of b.

b3 = 125

A: b = 41.7
B: b = ±41.7
C; b = 5
D: b = ±5

Answer 1

Option C; 5

Explanation:

This is a problem regarding logarithms. In logarithms, we mainly focus on exponentiation and determining the values of certain values in the logarithm.

1. 
   `b^(3)` = 125 (We have to find the value of "b" and we know that it is being cubed)
2. 
   `√(b^3)` =
   `√(125)` (To find the value, we have to get rid of the cube and we can do that by using cube root on each side to isolate the variable)
3. b = 5 (When you cube root 125, you get the solution of 5, which is indeed the value for "b" because when you cube it, you get 125)

Answer = C; 5

Hope this helped! :D

Answer 2

C

Explanation:

The given is b^3 = 125

Can be written as √b^3 = √125

√b^3 = √ (5)^3

Therefore, b = 5