What is the solution of the log of open paren 2 t plus 4 close paren is equal to the log of open paren 14 minus 3 t close paren ?

Since the logarithms have the same base, their arguments must be equal, as long as both arguments are positive. Set 2t + 4 = 14 − 3t, which gives 5t = 10 and t = 2. At t = 2, both arguments equal 8, so the logarithms are defined. The solution is 2, choice A.

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