Trigonometry (Logarthims)

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Give checks to the following two questions

Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32°28'30"

without logarithms i can do this problem easily and i have. but when i try solving it with logarithms i keep getting different answers.So i would really appreciate if you can help me show the steps with logarithms to find the solution. I know how unnecessary using logs for this problem is and if i had the choice i wouldn't because honestly its making me hate the subject in general but i have too. I would also love it if the steps were clear just so i can try doing the other problems by referring to this one.

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