SOLUTION: Express as a single logarithm 1/2 Log a X + 3 Log a Y - 2 Log a X

Algebra.Com
Question 198851: Express as a single logarithm
1/2 Log a X + 3 Log a Y - 2 Log a X

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Rewrite the logs using the identity


Convert to radical notation.


Combine the first two logs using the identity


Combine the logs using the identity


So

RELATED QUESTIONS

express the ff as a single logarithm. {{{-log(4) + 3*log(x-3) + 2*log(y) -... (answered by ankor@dixie-net.com)
4) Express as a single logarithm with a coefficient of 1:... (answered by jim_thompson5910)
Express as a single logarithm with a coefficient of 1:... (answered by lwsshak3)
Write as a single logarithm: 2/3 log x - 1/2 log y - 3 log... (answered by jsmallt9)
Express as a single logarithm log(x-3)-8 log y+log... (answered by josgarithmetic)
express as a single logarithm: 1/2 Log(x-3) - 5... (answered by lwsshak3)
Express as a single logarithm: log x + log 1 – 4 log... (answered by fractalier)
Rewrite the expression as a single logarithm. 1/2 [log(x) + log(y)] -... (answered by ikleyn)
express as a single logarithm 5 log x - 3 log y + 4 log... (answered by josmiceli)