ln(x)=-7ln(10)

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Solution for ln(x)=-7ln(10) equation: 


Simplifying
ln(x) = -7ln(10)

Multiply ln * x
lnx = -7ln(10)

Reorder the terms for easier multiplication:
lnx = -7 * 10ln

Multiply -7 * 10
lnx = -70ln

Solving
lnx = -70ln

Solving for variable 'l'.

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

Add '70ln' to each side of the equation.
70ln + lnx = -70ln + 70ln

Combine like terms: -70ln + 70ln = 0
70ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(70 + x) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 '(70 + x)' equal to zero and attempt to solve:

Simplifying
70 + x = 0

Solving
70 + x = 0

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

Add '-70' to each side of the equation.
70 + -70 + x = 0 + -70

Combine like terms: 70 + -70 = 0
0 + x = 0 + -70
x = 0 + -70

Combine like terms: 0 + -70 = -70
x = -70

Add '-1x' to each side of the equation.
x + -1x = -70 + -1x

Combine like terms: x + -1x = 0
0 = -70 + -1x

Simplifying
0 = -70 + -1x

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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