​if log5 to the base root 3=p and log2 to the base 3 =q,then find value of log300 to the base 3   ​

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Please find below the solution to the asked query:

We havelog35=plog3125=p2log35=p   loganm=1nlogamlog35=p2  log32=qlog3300=log33×52×22=log33+log352+log322=1+2log35+2log32=1+2.p2+2q=1+p+2q  Answer

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  • 1
Hello Sakshi, given log√3 5 = p
===> log3 5 = p/2
Also log3 2 = q
Now log3 300 = log3 (3 * 25 * 4) = log3 3 + log3 52 + log3 22 = 1 + 2 p/2 + 2 q = 1 + p + 2q
 
  • 0
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