Context: Find a so that the graph of f(x) = (log5) x contains the point (15, 12) Explain

To find the value of 'a' such that the graph of f(x) = (log5) x contains the point (15, 12), you need to substitute the given point into the equation and solve for 'a'.

The given function is f(x) = (log5) x.

The given point is (15, 12), where 15 is the x-coordinate and 12 is the y-coordinate (or the value of the function f(x) at x = 15).

Substitute these values into the equation:

12 = (log5) 15

To solve for 'a', you need to use the properties of logarithms. The equation (log5) 15 = 12 is equivalent to 5^12 = 15.

Solving this equation for 'a' gives a = 5^12 / 15.

This is the value of 'a' that makes the graph of f(x) = (log5) x pass through the point (15, 12).