Questions on number system

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Incognito
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1.If log(base12) 18 = a,
log(base24) 54=b,find the value of ab+5(a-b)

2.The number of solutions of log(base 2) (x+5) = 6-x is .....

3.If log(base 30) 3=x and log(base 30) 5=y,then log(base 8) 30 is equal to........

4.What is the value of x in
log(base 3/4 ) log (base 2) (x^2 +7) log (base[1/4) [(x^2+7)^(-1)] = -2?

5.If [N] is the greatest integer <= N,then [log 6730.4] is equal to?

6.Find teh value of sum of n terms of the series :
log m +log m^2/n + log m^3/n^2+....
Probability

Incognito
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