F(x)=ln(e^7x)

Solution for F(x)=ln(e^7x) equation:

Simplifying
F(x) = ln(e7x)

Multiply F * x
xF = ln(e7x)

Multiply ln * e7x
xF = e7lnx

Solving
xF = e7lnx

Solving for variable 'x'.

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

Add '-1e7lnx' to each side of the equation.
-1e7lnx + xF = e7lnx + -1e7lnx

Combine like terms: e7lnx + -1e7lnx = 0
-1e7lnx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1e7ln + F) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-1e7ln + F)' equal to zero and attempt to solve:

Simplifying
-1e7ln + F = 0

Reorder the terms:
F + -1e7ln = 0

Solving
F + -1e7ln = 0

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

Add '-1F' to each side of the equation.
F + -1F + -1e7ln = 0 + -1F

Combine like terms: F + -1F = 0
0 + -1e7ln = 0 + -1F
-1e7ln = 0 + -1F
Remove the zero:
-1e7ln = -1F

Add 'e7ln' to each side of the equation.
-1e7ln + e7ln = -1F + e7ln

Combine like terms: -1e7ln + e7ln = 0
0 = -1F + e7ln

Simplifying
0 = -1F + e7ln

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}