2ln(7x)=ln(4x)

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Solution for 2ln(7x)=ln(4x) equation:


Simplifying
2ln(7x) = ln(4x)

Remove parenthesis around (7x)
2ln * 7x = ln(4x)

Reorder the terms for easier multiplication:
2 * 7ln * x = ln(4x)

Multiply 2 * 7
14ln * x = ln(4x)

Multiply ln * x
14lnx = ln(4x)

Remove parenthesis around (4x)
14lnx = ln * 4x

Reorder the terms for easier multiplication:
14lnx = 4ln * x

Multiply ln * x
14lnx = 4lnx

Solving
14lnx = 4lnx

Solving for variable 'l'.

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

Add '-4lnx' to each side of the equation.
14lnx + -4lnx = 4lnx + -4lnx

Combine like terms: 14lnx + -4lnx = 10lnx
10lnx = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
10lnx = 0

Divide each side by '10'.
lnx = 0.0

Simplifying
lnx = 0.0

The solution to this equation could not be determined.

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