Why is a logarithm an exponennt and what is a logarithm exponent example?
A logarithm is an exponent because a logarithm is defined as:
Therefore, when you take the log of a function, the solution is an exponent.
`6^x=17` is difficult to solve because we know that the solution for x is not simply a whole number. We can use what we know about logarithms to solve for it:
This is now solveable! Not all calculators have the option of stating the base of the logarithm and offer only the two standards 10 and e (ln); therefore, you can solve this in a calculator by using the knowledge that:
Where the log on the right side can be to any base (so you can use log or ln in your calculator). Therefore: