Final answer:
The relationship between a number, its logarithm with base b, and b itself can be expressed using the equation: b^x = y. For example, if we take the base b as 10 and the number y as 100, the equation would be: 10^x = 100.
Step-by-step explanation:
The relationship between a number, its logarithm with base b, and b itself can be expressed using the equation:
bx = y
Where:
- b is the base of the logarithm
- x is the logarithm of y with base b
- y is the number
For example, if we take the base b as 10 and the number y as 100, the equation would be:
10x = 100
And if we solve for x, we find that x = 2.