ln(63)=ln(z)+ln(7)

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Solution for ln(63)=ln(z)+ln(7) equation: 


Simplifying
ln(63) = ln(z) + ln(7)

Reorder the terms for easier multiplication:
63ln = ln(z) + ln(7)

Multiply ln * z
63ln = lnz + ln(7)

Reorder the terms for easier multiplication:
63ln = lnz + 7ln

Reorder the terms:
63ln = 7ln + lnz

Solving
63ln = 7ln + lnz

Solving for variable 'l'.

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

Add '-7ln' to each side of the equation.
63ln + -7ln = 7ln + -7ln + lnz

Combine like terms: 63ln + -7ln = 56ln
56ln = 7ln + -7ln + lnz

Combine like terms: 7ln + -7ln = 0
56ln = 0 + lnz
56ln = lnz

Add '-1lnz' to each side of the equation.
56ln + -1lnz = lnz + -1lnz

Combine like terms: lnz + -1lnz = 0
56ln + -1lnz = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(56 + -1z) = 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 '(56 + -1z)' equal to zero and attempt to solve:

Simplifying
56 + -1z = 0

Solving
56 + -1z = 0

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

Add '-56' to each side of the equation.
56 + -56 + -1z = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -1z = 0 + -56
-1z = 0 + -56

Combine like terms: 0 + -56 = -56
-1z = -56

Add 'z' to each side of the equation.
-1z + z = -56 + z

Combine like terms: -1z + z = 0
0 = -56 + z

Simplifying
0 = -56 + z

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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