Calculate log_5(25)

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

Step by step

Question: work out log₅ 25.

log₅ 25

A log is a power.

log₅ 25 asks: 5 to what power is 25?

a log is a power

5 to the power what is 25?

5^? = 25

5 times 5 is 25.

That is 2 5's.

5 × 5 = 25

So the power is 2.

5² = 25

So log₅ 25 = 2.

log₅ 25 = 2

Let's look back.

First: what the log asks.

Last: find the power.

Answer

log₅ 25 = 2

Try this one yourself, then check:

log₄ 4

Show the answer

log₄ 4 = 1