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Condense the expression to the logarithm of a single quantity.


I'm going to be so thankful if anyone could solve this for me please... because I can't understand any of it right now.​

Condense The Expression To The Logarithm Of A Single Quantity Im Going To Be So Thankful If Anyone Could Solve This For Me Please Because I Cant Understand Any class=

Sagot :

[tex]\dfrac 12 \log_3 x - 2\log_3 (y +8)\\ \\=\log_3 x^{\tfrac 12}- \log_3(y+8)^2~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log_3 \left( \dfrac {x^{\tfrac 12}}{y+8)^2} \right)~~~~~~~~~~~~~~~~~~~~~~~~;\left[\log_b \left( \dfrac mn \right) = \log_b m - \log_b n \right][/tex]