5=10*ln(h-80)

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Solution for 5=10*ln(h-80) equation:


Simplifying
5 = 10ln(h + -80)

Reorder the terms:
5 = 10ln(-80 + h)
5 = (-80 * 10ln + h * 10ln)

Reorder the terms:
5 = (10hln + -800ln)
5 = (10hln + -800ln)

Solving
5 = 10hln + -800ln

Solving for variable 'h'.

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

Add '-10hln' to each side of the equation.
5 + -10hln = 10hln + -10hln + -800ln

Combine like terms: 10hln + -10hln = 0
5 + -10hln = 0 + -800ln
5 + -10hln = -800ln

Add '-5' to each side of the equation.
5 + -5 + -10hln = -5 + -800ln

Combine like terms: 5 + -5 = 0
0 + -10hln = -5 + -800ln
-10hln = -5 + -800ln

Divide each side by '-10ln'.
h = 0.5l-1n-1 + 80

Simplifying
h = 0.5l-1n-1 + 80

Reorder the terms:
h = 80 + 0.5l-1n-1

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