If `log_5(5^(1/x)+125)=log_5 6+1+1/(2x)`, then `x` =

If (log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1] , then x= 4 (b) 3 (c) 2 (d) 1

If (log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1] , then x= 4 (b) 3 (c) 2 (d) 1

If "log"_(a) x xx "log"_(5)a = "log"_(x) 5, a ne 1, a gt 0, " then "x =

If "log"_(x) (4x^("log"_(5)x) + 5) = 2 "log"_(5)x , then x equals to

If log_(0.5) sin x=1-log_(0.5) cos x, then the number of solutions of x in[-2pi,2pi] is

if x+log_10 (1+2^x)=xlog_10 5+log_10 6 then x

If a gt 1, x gt 0 and 2^(log_(a)(2x))=5^(log_(a)(5x)) , then x is equal to

Match the column Column I, Column II If x=3,t h e n(log)_4(2(log)_3(1+(log)_2(1+3Log_3x))) is equal to, p. 3 If x=100 , then 3^((log)_3logsqrt(x))-logx+log^2x is equal to, q. 1 If one of the root of the equation 2((log)_xsqrt(5))^2-3(log)_x(a)+1=0 is sqrt(5) , then the other root is, r. 1/2 If (log)_2(4. 3^x-6)-(log)_2(9^x-6)=1, then x is equal to, s. 5

If log_(2)(5.2^(x)+1),log_(4)(2^(1-x)+1) and 1 are in A.P,then x equals

If log_(2)(5.2^(x)+1),log_(4)(2^(1-x)+1) and 1 are in A.P,then x equals