I need help solving for this final problem to complete my assigment. Please help!

Solve for x:

ln(x^4)-ln(x^2)=2

1 answer

ln ( x ^ 4 ) = 4 * ln ( x )

ln ( x ^ 2 ) = 2 * ln ( x )

ln ( x ^ 4 ) - ln ( x ^ 2 ) = 2

4 * ln ( x ) - 2 * ln ( x ) = 2

2 * ln ( x ) = 2 Divide both sides by 2

ln ( x ) = 1 Cancel logarithm by taking exp of both sidess

x = e = 2.71828...
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