4*ln(x)+5*ln(x)=6+7*ln(x)

Solution for 4*ln(x)+5*ln(x)=6+7*ln(x) equation:

Simplifying
4ln(x) + 5ln(x) = 6 + 7ln(x)

Multiply ln * x
4lnx + 5ln(x) = 6 + 7ln(x)

Multiply ln * x
4lnx + 5lnx = 6 + 7ln(x)

Combine like terms: 4lnx + 5lnx = 9lnx
9lnx = 6 + 7ln(x)

Multiply ln * x
9lnx = 6 + 7lnx

Solving
9lnx = 6 + 7lnx

Solving for variable 'l'.

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

Add '-7lnx' to each side of the equation.
9lnx + -7lnx = 6 + 7lnx + -7lnx

Combine like terms: 9lnx + -7lnx = 2lnx
2lnx = 6 + 7lnx + -7lnx

Combine like terms: 7lnx + -7lnx = 0
2lnx = 6 + 0
2lnx = 6

Divide each side by '2nx'.
l = 3n-1x-1

Simplifying
l = 3n-1x-1