Combine the following into a single logarithm with a coefficient of one.

[SMA14]

 

[mmm4444bot]

Combine the following into a single logarithm with a coefficient of one.

1/3 ∙ log(a) - 6 ∙ log(b) + 2

You forgot to provide the instructions, so I edited your thread title.

What properties of logarithms have you learned? (You need to use a few of them, for this exercise.)

These are base-10 logarithms, so you can start with substituting a logarithm for 2:

1/3 ∙ log(a) - 6 ∙ log(b) + log( ? )

The next step is to apply the "power rule" property (shown at the link above). After that, use the other two properties shown.

Please show your work. :cool: