Exclude from the solution set any proposed solution that produces the log of a negative number or the log of 0. the怍 = log −1 does not work since it produces of a negative怍 = 3 number. …

Given that log 2 = x, log 3 = y and log 7 = z, express the following expressions in terms of x, y, and z. 10. Solve the following equations. 11. Draw the graph of each of the following …

When I write "log(x)", I mean the natural logarithm (you may be used to seeing "ln(x)"). If I specifically want the logarithm to the base 10, I’ll write log10.

You can see in the solution that we end up with this equation eventually, but only after using the Quotient Rule for Logarithms and converting from log form to exponential form.

• log a(x) is a function of x which is defined when x > 0. Like with sin x, sometimes the brackets are omitted if it’s clear what the function is being applied to, so we might write log a x. • log x is …

In the case the base, , , is the number / , we write ln B for log / B . A logarithm with base / is called the “natural logarithm” for reasons we'll see later in the course.

I) Model Problems For any positive numbers X, Y and N and any positive base b, the following formulas are true: logbXN = N • logbX log