Question

Logₐ5 and logₐ3. Use one or both of these values to evaluate logₐ125.

Answer 1

To evaluate logₐ125 using logₐ5 and logₐ3, you can use the logarithmic property that states logₐ(xy) = logₐx + logₐy. Rewrite logₐ125 as multiples of logₐ5 and evaluate accordingly.

Step-by-step explanation:

In order to evaluate loga125 using the given values of loga5 and loga3, we can use the logarithmic property that states loga(xy) = logax + logay.

Since 125 = 5 * 5 * 5, we can rewrite loga125 as loga(5 * 5 * 5).

Using the logarithmic property, we can break down loga(5 * 5 * 5) as loga5 + loga5 + loga5.

Therefore, loga125 can be evaluated by adding three times the value of loga5, which can be obtained using the given information.