Natural Logarithms (Help)

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Can I have an answer with working out to this question please, I am puzzled at the result I got and don't believe it is right. The question asks to 'Simplify by expressing as a single natural logarithm'.enter image description here

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$-3\ln3+2\ln9-2\ln81=-3\ln3+\ln81-2\ln81=-3\ln3-\ln81=-3\ln3-4\ln3=-7\ln3=\ln\frac{1}{2187}$