What is the solution of log sub 3 of open paren 3 x plus 2 close paren is equal to log sub 3 times open paren 4 x minus 6 close paren ?

Both logarithms have the same base, 3, so their arguments must be equal (as long as both arguments are positive). Set 3x + 2 = 4x − 6, which gives x = 8. Substituting 8 makes both arguments 26, so the solution is 8, choice B.

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