exp(x)=exp(ln(x))

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Solution for exp(x)=exp(ln(x)) equation: 


Simplifying
exp(x) = exp(ln(x))

Multiply epx * x
epx2 = exp(ln(x))

Multiply ln * x
epx2 = epx(lnx)

Multiply epx * lnx
epx2 = elnpx2

Solving
epx2 = elnpx2

Solving for variable 'e'.

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

Add '-1elnpx2' to each side of the equation.
-1elnpx2 + epx2 = elnpx2 + -1elnpx2

Combine like terms: elnpx2 + -1elnpx2 = 0
-1elnpx2 + epx2 = 0

Factor out the Greatest Common Factor (GCF), 'epx2'.
epx2(-1ln + 1) = 0


Subproblem 1
Set the factor 'epx2' equal to zero and attempt to solve:

Simplifying
epx2 = 0

Solving
epx2 = 0

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

Simplifying
epx2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1ln + 1)' equal to zero and attempt to solve:

Simplifying
-1ln + 1 = 0

Reorder the terms:
1 + -1ln = 0

Solving
1 + -1ln = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1ln = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1ln = 0 + -1
-1ln = 0 + -1

Combine like terms: 0 + -1 = -1
-1ln = -1

Add 'ln' to each side of the equation.
-1ln + ln = -1 + ln

Combine like terms: -1ln + ln = 0
0 = -1 + ln

Simplifying
0 = -1 + ln

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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