Value of `[2/((log)_4(2000)^6)+3/((log)_5(2000)^6)]` is
a. `4^(1/3). 5^(1/2)` b. `1/6` c. `3 3` d. none of these

If (log)_kx . (log)_5k=(log)_x5,k!=1,k >0, then x is equal to k (a) k (b) 1/5 (c) 5 (d) none of these

Value of x satifying (log)_(10)sqrt(1+x)+3(log)_(10)sqrt(1-x)=(log)_(10)sqrt(1-x^2)+2 is a. 0ltxlt1 b. -1ltxlt1 c. -1ltxlt0 d. None of this

The value of N satisfying (log)_a[1+(log)_b\ {1+(log)_c(1+(log)_p N)}]=0 is- a. 4 b. 3 c. 2 d. 1

The value of expression, (log)_4((x^2)/4)-2(log)_4(4x^4) when x=-2 is (a) -6 (b) -5 (c) -4 (d) meaningless

Solve for x :(log)_5 120+(x-3)-2.(log)_5(1-5^(x-3))=-(log)_5(0. 2-5^(x-4)) .

Find the value of 49^A+5^B where A=1-(log)_7 2, B=-(log)_5 4.

The number of solutions of (log)_4(x-1)=(log)_2(x-3) is (2001, 2M) (a) 3 (b)1 (c) 2 (d) 0

Comprehension 2: In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one. For example log_2 4 is smaller than (log)_2 8 and (log)_(1/2)4 is larger than (log)_(1/2)8 and (log)_(2/3)5/6 is- a. less than zero b. greater than zero and less than one c. greater than one d. none of these

Solve the equation log_(3)(5+4log_(3)(x-1))=2

If 3^x=4^(x-1) , then x= , (a) (2(log)_3 2)/(2(log)_3 2-1) (b) 2/(2-(log)_2 3) (c) 1/(1-(log)_4 3) (d) (2(log)_2 3)/(2(log)_2 3-1)