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

Find the value of the expressions (log2)^3+log8.log(5)+(log5)^3 .

If 4^A+9^B=10^C , where A=(log)_(16)4,B=(log)_3 9, C=(log)_x 83 then find x .

The approximate value of 5^(2.01) is....where , (log_(e)5=1.6095) .

Find the value of a and b: (2a-5, 4)= (5,b+ 6)

Find the value of x satisfying the equation ((log)_3 (3x)^(1/3)+(log)_x(3x)^(1/3))dot(log)_3x^3+((log)_3(x/3)^(1/3)+(log)_x(3/x)^(1/3))dot(log)_3x^3=2

Find the value of a and b: (a+2, 4)= (5, 2a + b)

Prove that a^x-b^y=0 where x=sqrt((log)_a b), y=sqrt((log)_b a), a >0, b >0 , a , b!=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

If log_(a)b+log_(b)c+log_(c)a vanishes where a, b and c are positive reals different than unity then the value of (log_(a)b)^(3) + (log_(b)c)^(3) + (log_(c)a)^(3) is

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