What is the general solution for solvefor x,ln(y)=sin(x) ?

The general solution for solvefor x,ln(y)=sin(x) is x=arcsin(ln(y))+2pin,x=pi+arcsin(-ln(y))+2pin

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solvefor x,ln(y)=sin(x)

solve for

x, ln (y) = sin (x)

x = arcsin (ln (y)) + 2 πn, x = π + arcsin (- ln (y)) + 2 πn

Solution steps

ln (y) = sin (x)

Switch sides

sin (x) = ln (y)

Apply trig inverse properties

sin (x) = ln (y)

General solutions for

sin (x) = ln (y)

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π + arcsin (a) + 2 πn

x = arcsin (ln (y)) + 2 πn, x = π + arcsin (- ln (y)) + 2 πn

x = arcsin (ln (y)) + 2 πn, x = π + arcsin (- ln (y)) + 2 πn

sin (θ) + cos (θ) = \frac{3}{2}

sin (x) + \frac{π}{2} = cos (x)

5 cos (x) - 3 = 9 cos (x) - 5

3 sin^{2} (x) - 8 sin (x) + 4 = 0

3 tan (x) = tan (2 x)

What is the general solution for solvefor x,ln(y)=sin(x) ?
The general solution for solvefor x,ln(y)=sin(x) is x=arcsin(ln(y))+2pin,x=pi+arcsin(-ln(y))+2pin