What is the general solution for e^{tan(x)}=2 ?

The general solution for e^{tan(x)}=2 is x=0.60611…+pin

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e^{tan(x)}=2

e^{t a n (x)} = 2

x = 0.60611 \dots + πn

Solution steps

e^{t a n (x)} = 2

Apply exponent rules

tan (x) = ln (2)

Apply trig inverse properties

x = arctan (ln (2)) + πn

Show solutions in decimal form

x = 0.60611 \dots + πn

tan^{2} (x) + 4 tan (x) - 5 = 0

3 sin^{2} (x) - 6 sin (x) = 0

2 cos^{2} (θ) = 3 sin (θ)

sin^{2} (θ) = 8 sin (θ) + 9

x, e^{c o s (y)} = cos (x)

What is the general solution for e^{tan(x)}=2 ?
The general solution for e^{tan(x)}=2 is x=0.60611…+pin