ln(x+49)-ln(x-49)=t

Solution for ln(x+49)-ln(x-49)=t equation:

Simplifying
ln(x + 49) + -1ln(x + -49) = t

Reorder the terms:
ln(49 + x) + -1ln(x + -49) = t
(49 * ln + x * ln) + -1ln(x + -49) = t
(49ln + lnx) + -1ln(x + -49) = t

Reorder the terms:
49ln + lnx + -1ln(-49 + x) = t
49ln + lnx + (-49 * -1ln + x * -1ln) = t
49ln + lnx + (49ln + -1lnx) = t

Reorder the terms:
49ln + 49ln + lnx + -1lnx = t

Combine like terms: 49ln + 49ln = 98ln
98ln + lnx + -1lnx = t

Combine like terms: lnx + -1lnx = 0
98ln + 0 = t
98ln = t

Solving
98ln = t

Solving for variable 'l'.

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

Divide each side by '98n'.
l = 0.01020408163n-1t

Simplifying
l = 0.01020408163n-1t