If `sinhx=3" then show that "x=log(3+sqrt10)`

If sin hx = 3 , then show that x = Log_(e) (3+sqrt(10)) .

If cosh x =3 , show that x=log_(e ) (3+sqrt(8))

IF sinhx=5 , then S.T x=log_e(5+sqrt26)

If a^(3-x).b^(5x) = a^(5+x).b^(3x) , then show that x log (b/a) = log a .

If sinhx = 3/4 then find cosh 2x and sinh 2x .

The number of real values of x satisfying the equation log_(10) sqrt(1+x)+3log_(10) sqrt(1-x)=2+log_(10) sqrt(1-x^(2)) is :

The number of real values of x satisfying the equation log_(10) sqrt(1+x)+3log_(10) sqrt(1-x)=2+log_(10) sqrt(1-x^(2)) is :

If y= sqrt (log x + sqrt (log x + sqrt (log x + ......oo))) , then show that dy/dx = frac{1}{x(2y-1)}

Show that log_(3)log_(2)log_(sqrt3)81 = 1