When it comes to solving logarithms, what you're essentially doing is identifying the exponent that a base must be amplified by to derive a certain number. To illustrate, in the equation log base 2 of 8 equals 3, this signifies that 2, raised to the power of 3, results in 8. It's key to grasp the connection between logarithms and exponents, particularly when working through exponential equations.
| Topic | Problem | Solution |
|---|---|---|
| None | Evaluate the logarithm \(\log_5{125}\) | Recall the definition of a logarithm. The expression \(\log_b{a} = c\) is equivalent to \(b^c = a\) |