Calculate log_3(9)

Step by step, with the reason for every step · Exponential equations and logarithms · Algebra 2

Step by step

Question: work out log₃ 9.

log₃ 9

A log is a power.

log₃ 9 asks: 3 to what power is 9?

a log is a power

3 to the power what is 9?

3^? = 9

3 times 3 is 9.

That is 2 3's.

3 × 3 = 9

So the power is 2.

3² = 9

So log₃ 9 = 2.

log₃ 9 = 2

Let's look back.

First: what the log asks.

Last: find the power.

Answer

log₃ 9 = 2

Try this one yourself, then check:

log₄ 16

Show the answer

log₄ 16 = 2