Logs! solve 2log_3(x) + 1/2log_3(16) = log_3(400)

[lexieh]

2log[sub:18mnrw35]3[/sub:18mnrw35]x+1/2log[sub:18mnrw35]3[/sub:18mnrw35]16=log[sub:18mnrw35]3[/sub:18mnrw35]400


HOW DO YOU FIND X? PLEASE SHOW ME HOW TO SOLVE THANK YOU.

 

[royhaas]

Re: LOGS!

First combine the logs:\(\displaystyle \log_3(x^2)+\log_3(16^{1/2})\).

 

[sandman369]

and remember the property: log[sub:gjwzph8n]b[/sub:gjwzph8n]x + log[sub:gjwzph8n]b[/sub:gjwzph8n]y = log[sub:gjwzph8n]b[/sub:gjwzph8n](xy)