Question

11 - Comparing MathsHow is the relationship between the equations log264=6 and 26=64 similar to the relationship between the equations 34=12 and 123=4 ?

Answer 1

In the first pair of equations, we have a logarithm and an exponential equation.

These operations are inverse operations, and the definition of one operation uses the other:

`log_ab=c\rightarrow a^c=b`

In the same way, the second pair of equations have a product and a division between two numbers. These operations are also inverse operations, and we can write the following definition:

`(a)/(b)=c\rightarrow b\cdot c=a`

Therefore the relationships are similar because both relationships show inverse operations.