Warm-up

Solve for x:

981

162

044

610

5

2

3

2

x

x

xx

x

Consider an exponential function:

How would you find the inverse of that function?

In the equation above, we say that “y is the logarithm of x to the base b.”

Logarithms

xby

ybx

xy blog

To Evaluate

Think, “What exponent goes on 2 to give me 32?”

Try these:

32log2

532log2

xybx by log

27log3

1000log10

2log4

5.0log2

xybx by log

27log9

8log4

Some are trickier:

Try these:

16log64

What about not-so-nice numbers?

xybx by log

50log10