What is the answer to solvefor y,x=ln(e^y-3) ?

The answer to solvefor y,x=ln(e^y-3) is y=ln(e^x+3)

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solvefor y,x=ln(e^y-3)

solve for

y, x = ln (e^{y} - 3)

y = ln (e^{x} + 3)

Solution steps

x = ln (e^{y} - 3)

Rewrite the equation with

e^{y} = u

x = ln (u - 3)

Solve

x = ln (u - 3) : u = e^{x} + 3

u = e^{x} + 3

Substitute back

u = e^{y},

solve for

y

Solve

e^{y} = e^{x} + 3 : y = ln (e^{x} + 3)

y = ln (e^{x} + 3)

2 (3^{x - 1}) - 5 = 7

8. 1^{4 x + 3} = 1

4^{x - 6} = 64

2^{5 x + 1} + 2^{5 x + 5} = 17

e^{x} = - 2 x

What is the answer to solvefor y,x=ln(e^y-3) ?
The answer to solvefor y,x=ln(e^y-3) is y=ln(e^x+3)