ln(x)=7.5-(2.0xln(60))

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Solution for ln(x)=7.5-(2.0xln(60)) equation: 


Simplifying
ln(x) = 7.5 + -1(2.0xln(60))

Multiply ln * x
lnx = 7.5 + -1(2.0xln(60))

Reorder the terms for easier multiplication:
lnx = 7.5 + -1(2.0 * 60lnx)

Multiply 2.0 * 60
lnx = 7.5 + -1(120lnx)

Remove parenthesis around (120lnx)
lnx = 7.5 + -1 * 120lnx

Multiply -1 * 120
lnx = 7.5 + -120lnx

Solving
lnx = 7.5 + -120lnx

Solving for variable 'l'.

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

Add '120lnx' to each side of the equation.
lnx + 120lnx = 7.5 + -120lnx + 120lnx

Combine like terms: lnx + 120lnx = 121lnx
121lnx = 7.5 + -120lnx + 120lnx

Combine like terms: -120lnx + 120lnx = 0
121lnx = 7.5 + 0
121lnx = 7.5

Divide each side by '121nx'.
l = 0.06198347107n-1x-1

Simplifying
l = 0.06198347107n-1x-1

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