Recall a few properties of logarithms:

1.When adding logarithms of like base, we multiply the inside.

2.When subtracting logarithms of like base, we divide the inside.

3. When multiplying a logarithm by a number, we can raise the inside to that power.

So we begin with this:

I would start with 3 to simplify the first log.

Next, use rule 1 on the first two logs.

Then, use rule 2 to combine these two.

So our answer is 6.06.

When combining logarithms into one log, we must remember that addition and multiplication are linked and subtraction and division are linked.

In this case we have multiplication and division - so we assume anything that is negative, must be placed in the bottom of the fraction.

When rewriting an exponential function as a log, we must follow the model below:

A log is used to find an exponent. The above corresponds to the exponential form below:

In order to rewrite a log, we must remember the pattern that they follow below:

In this question we have:

Step 1: Recall all logarithm rules:

Step 2: Rewrite the first term in the expression..

Step 3: Re-write the third term in the expression..

Step 4: Add up the positive terms...

Step 5: Subtract the answer the other term from the answer in Step 4.

In order to expand this log, we must remember the log rules.

Recall a few properties of logarithms:

1.When adding logarithms of like base, we multiply the inside.

2.When subtracting logarithms of like base, we divide the inside.

3. When multiplying a logarithm by a number, we can raise the inside to that power.

So we begin with this:

I would start with 3 to simplify the first log.

Next, use rule 1 on the first two logs.

Then, use rule 2 to combine these two.

So our answer is 6.06.