# Write each logarithmic expression as a single logarithm:

Log 2 + 3 log 1

## To write the given logarithmic expression as a single logarithm, we can use the properties of logarithms.

1. Start with the given expression: log 2 + 3 log 1.
2. Recall that log 1 = 0, since any number raised to the power of 0 equals 1.
3. Substitute log 1 with 0: log 2 + 3(0).
4. Simplify the expression: log 2 + 0.
5. Since any number added to 0 remains the same, the expression simplifies to: log 2.

Therefore, the given logarithmic expression, log 2 + 3 log 1, can be written as a single logarithm as log 2.

## To write each logarithmic expression as a single logarithm, we need to combine the given terms using the properties of logarithms. Let's start with the first expression:

Log 2 + 3 log 1

First, let's evaluate the second term, 3 log 1. The logarithm of 1 to any base is always 0, so we have:

3 log 1 = 3 * 0 = 0

Now, we can rewrite the expression as:

Log 2 + 0

Any number added to 0 is equal to itself, so:

Log 2 + 0 = Log 2

Therefore, the original expression Log 2 + 3 log 1 simplifies to Log 2 as a single logarithm.

## log2+ 3log1

= log 2 + 3(0) = log2

you SHOULD know that log 1 = 0