Log Simplification

hrm

Sep 2017
4
0
london
ok I hate logs so how would I simplify: z= 3- 3 log(x+y)

thank you :D
 

skeeter

MHF Helper
Jun 2008
16,217
6,765
North Texas
ok I hate logs so how would I simplify: z= 3- 3 log(x+y)
one "simplifies" an expression or "solves" an equation.

you've posted an equation ... what are you solving for?
 

SlipEternal

MHF Helper
Nov 2010
3,728
1,571
$z=3 \big(1-\log (x+y)\big)=3\log\left( \dfrac{e}{x+y}\right) $

Which one do you think is "simpler"?
 
Last edited:

hrm

Sep 2017
4
0
london
sorry guys I posted the question wrong!

log z = 3 - 3log(x+y)
 

skeeter

MHF Helper
Jun 2008
16,217
6,765
North Texas
sorry guys I posted the question wrong!

log z = 3 - 3log(x+y)
$z = e^{3-3\log(x+y)} = \dfrac{e^3}{e^{\log(x+y)^3}} = \left(\dfrac{e}{x+y}\right)^3$