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Let log3^N = alpha1 + beta1 , log5^N = ...

Let ` log_3^N = alpha_1 + beta_1 , log_5^N = alpha_2 + beta_2 , log_7^N = alpha_3 + beta_3` Largest integral value of N if ` alpha_1 =5 , alpha_2 = 3 and alpha_3=2`(A)342. (D) 242 (C) 243 (B) 343 342 17 Difference of largest and smallest integral values of N if ` alpha_1 =5 , alpha_2 = 3 and alpha_3=2` (D) 99 (C) 98 (B) 100 (A) 97

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Let log_(3)N=alpha_(1)+beta_(1) log_(5)N=alpha_(2)+beta_(2) log_(7)N=alpha_(3)+beta_(3) where alpha_(1), alpha_(2) and alpha_(3) are integers and beta_(1), beta_(2), beta_(3) in [0,1) . Q. Difference of largest and smallest values of N if alpha_(1)=5, alpha_(2)=3 and alpha_(3)=2 .

Let log_(3)N=alpha_(1)+beta_(1) log_(5)N=alpha_(2)+beta_(2) log_(7)N=alpha_(3)+beta_(3) where alpha_(1), alpha_(2) and alpha_(3) are integers and beta_(1), beta_(2), beta_(3) in [0,1) . Q. Largest integral value of N if alpha_(1)=5, alpha_(2)=3 and alpha_(3)=2 .

Let log_(3)N=alpha_(1)+beta_(1) log_(5)N=alpha_(2)+beta_(2) log_(7)N=alpha_(3)+beta_(3) where alpha_(1), alpha_(2) and alpha_(3) are integers and beta_(1), beta_(2), beta_(3) in [0,1) . Q. Number of integral values of N if alpha_(1)=4 and alpha_(2)=2 :

Let log_(a)N=alpha + beta where alpha is integer and beta =[0,1) . Then , On the basis of above information , answer the following questions. The difference of largest and smallest integral value of N satisfying alpha =3 and a =5 , is

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