SOLUTION: 4[ln(z)+ln(z+5)]-2ln(z-50 i need to condense this to a single quantity. This is as far as I get. [ln(z)+ln(z+5)]^4 - ln(z-5)^2 now can I pull another 2 out as a multiplier?like

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 4[ln(z)+ln(z+5)]-2ln(z-50 i need to condense this to a single quantity. This is as far as I get. [ln(z)+ln(z+5)]^4 - ln(z-5)^2 now can I pull another 2 out as a multiplier?like      Log On


   

Question 149932: 4[ln(z)+ln(z+5)]-2ln(z-50
i need to condense this to a single quantity. This is as far as I get.
[ln(z)+ln(z+5)]^4 - ln(z-5)^2 now can I pull another 2 out as a multiplier?like this: 2(ln(z+5))^4 - ln(z-5)^2 NOW I AM STUCK
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression.


Distribute.


Rewrite each term using the identity ln%28x%5Ey%29=y%2Aln%28x%29%29


Combine the logs using the identity ln%28A%29%2Bln%28B%29=ln%28A%2AB%29


Combine the logs using the identity ln%28A%29-ln%28B%29=ln%28A%2FB%29


So simplifies to