log(x)+loge(x)=3

Solution for log(x)+loge(x)=3 equation:

Simplifying
log(x) + loge(x) = 3

Multiply glo * x
glox + loge(x) = 3

Multiply eglo * x
glox + eglox = 3

Reorder the terms:
eglox + glox = 3

Solving
eglox + glox = 3

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-1glox' to each side of the equation.
eglox + glox + -1glox = 3 + -1glox

Combine like terms: glox + -1glox = 0
eglox + 0 = 3 + -1glox
eglox = 3 + -1glox

Divide each side by 'glox'.
e = 3g-1l-1o-1x-1 + -1

Simplifying
e = 3g-1l-1o-1x-1 + -1

Reorder the terms:
e = -1 + 3g-1l-1o-1x-1