Rewrite the exponential equation as an equivalent logarithmic equation.

To convert the exponential equation into a logarithmic form, you can express it as:

Now you have an equation that tells you what exponent you must raise 5 to in order to get ! It’s like asking: “What power of 5 gives me ?” Isn’t that neat?

Logarithms are not just mathematical curiosities; they’re used in everyday situations! For example, scientists use logarithms to measure the intensity of earthquakes (Richter scale) or the acidity of solutions (pH scale). So, the next time you see a log, remember—it’s not just about numbers; it’s about understanding the world around you!