Combining Logs: a.log(b)+ c.log(d)?

[Fairy111]

Homework Statement

If you have a.log(b)+ c.log(d), is that equal to,

(a+c)log(bd) or (a.c)log(bd) ?

Homework Equations

The Attempt at a Solution

 

[Cyosis]

You know that $a \log b=\log b^a$ and you also know that $\log a+\log b=\log ab$. Try to apply these to your expression, to find the correct results (both the results you listed are incorrect).

 

[Fairy111]

So it would be log(b^a . d^c) ?

 

[tiny-tim]

Hi Fairy111!

(try using the X² tag just above the Reply box )

So it would be log(b^a . d^c) ?

Yup!