`(1+1/(2x))log_10 3+log_10 2=log_10(27-sqrt(3))`

(1)/(2)log_(10)x+3log_(10)sqrt(2+x)=log_(10)sqrt(x(x+2))+2

The global maximum value of f(x0=log_(10)(4x^(3)-12x^(2)+11x-3),x in[2,3] is -(3)/(2)log_(10)3(b)1+log_(10)3log_(10)3(d)(3)/(2)log_(10)3

Which of the following statement(s) is/are true? (a) log _(10)2 lies between (1)/(4) and (1)/(3) (b) log_(csc(pi/6))(cos backslash(pi)/(3))=-1( c) e^(ln(ln3)) is smaller than 1(d)log_(10)1+(1)/(2)log_(10)3+log_(10)(2+sqrt(3))=log_(10)(1+sqrt(3)+(2+sqrt(3)))

Find the domain of definition of the function f(x) = log_10 log_10 log_10 { (x + 1)(x - 2)} .

The global maximum value of f(x)=(log)_(10)(4x^3-12 x^2+11 x-3),x in [2,3], is -3/2(log)_(10)3 (b) 1+(log)_(10)3 (log)_(10)3 (d) 3/2(log)_(10)3

The global maximum value of f(x0=(log)_(10)(4x^3-12 x^2+11 x-3),x in [2,3], is -3/2(log)_(10)3 (b) 1+(log)_(10)3 (log)_(10)3 (d) 3/2(log)_(10)3

((log_(10)x)/(2))^(log_(10)^(2)x+log_(10)x^(2)-2)=log_(10)sqrt(x)

Find the real solution to the system of equation log_(10)(2000xy)-log_(10)x*log_(10)y=4,log_(10)(2yz)-log_(10)y*log_(10)z=1 and log_(10)(2x)-log_(10)x*log_(10)x=

If log_10 2, log_10(2^x- 1) and log_10(2^x+3) are in A.P., then find the value of x.

The value of sqrt((log_(16)10)/(log_(2)10)+(log_(81)10)/(log_(27)10)), is