How do you condense #4[ln z+ln(z+5)-2ln(z-5)]#?
We have the following:
Recall the logarithm/natural log rule
This allows us to rewrite the blue terms as
We can reference another logarithm/natural log rule:
We can apply this to the purple term. Our coefficient simply becomes our exponent. We now have
We can leverage yet another logarithm/natural log rule:
If we have the same base and we're subtracting, we can turn this into division. We now have
Hope this helps!