Question 3 • CA-Algebra I A – 6002
Rewrite both sides using base 7: 49 = 7² and 343 = 7³. Then 49^(3x) = 7^(6x), while 343^(2x+1) = 7^(6x+3). Equal powers of 7 must have equal exponents, which would require 6x = 6x + 3—impossible. So the equation has no solution, choice D.
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