Math: More about logs

Understanding logs is critical to anyone who needs to pass math 12 precalculus.  Your tutor will give you a new point of view about them.

Imagine you have this equation:

3^x=46

The solution is

x=log46/log3

Now let’s evaluate the decimal using a calculator:

log46/log3=3.4850

(We have rounded to four decimal places.)

To verify that 3.4850 really is the solution, we can substitute it back in for x:

3^3.4850=46.0010

Close enough:)  Usually, during calculations, four decimal places is sufficient. This is true not only for logarithms, but trig as well.

With the pressure of final exams behind us, we will continue to provide light reading throughout the summer.  We tutor all year:)

Jack of Oracle Tutoring by Jack and Diane, Campbell River, BC.

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