ln(x+5)-loge^2(2)=ln(11x)

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Solution for ln(x+5)-loge^2(2)=ln(11x) equation: 


Simplifying
ln(x + 5) + -1loge2(2) = ln(11x)

Reorder the terms:
ln(5 + x) + -1loge2(2) = ln(11x)
(5 * ln + x * ln) + -1loge2(2) = ln(11x)
(5ln + lnx) + -1loge2(2) = ln(11x)

Reorder the terms for easier multiplication:
5ln + lnx + -1 * 2e2glo = ln(11x)

Multiply -1 * 2
5ln + lnx + -2e2glo = ln(11x)

Reorder the terms:
-2e2glo + 5ln + lnx = ln(11x)

Remove parenthesis around (11x)
-2e2glo + 5ln + lnx = ln * 11x

Reorder the terms for easier multiplication:
-2e2glo + 5ln + lnx = 11ln * x

Multiply ln * x
-2e2glo + 5ln + lnx = 11lnx

Solving
-2e2glo + 5ln + lnx = 11lnx

Solving for variable 'e'.

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

Add '-5ln' to each side of the equation.
-2e2glo + 5ln + -5ln + lnx = -5ln + 11lnx

Combine like terms: 5ln + -5ln = 0
-2e2glo + 0 + lnx = -5ln + 11lnx
-2e2glo + lnx = -5ln + 11lnx

Add '-1lnx' to each side of the equation.
-2e2glo + lnx + -1lnx = -5ln + 11lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-2e2glo + 0 = -5ln + 11lnx + -1lnx
-2e2glo = -5ln + 11lnx + -1lnx

Combine like terms: 11lnx + -1lnx = 10lnx
-2e2glo = -5ln + 10lnx

Divide each side by '-2glo'.
e2 = 2.5g-1no-1 + -5g-1no-1x

Simplifying
e2 = 2.5g-1no-1 + -5g-1no-1x

Reorder the terms:
e2 + -2.5g-1no-1 + 5g-1no-1x = 2.5g-1no-1 + -2.5g-1no-1 + -5g-1no-1x + 5g-1no-1x

Combine like terms: 2.5g-1no-1 + -2.5g-1no-1 = 0.0
e2 + -2.5g-1no-1 + 5g-1no-1x = 0.0 + -5g-1no-1x + 5g-1no-1x
e2 + -2.5g-1no-1 + 5g-1no-1x = -5g-1no-1x + 5g-1no-1x

Combine like terms: -5g-1no-1x + 5g-1no-1x = 0
e2 + -2.5g-1no-1 + 5g-1no-1x = 0

The solution to this equation could not be determined.

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