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SMO 2017 Senior Round 1 Question 3

SMO · SMO 2017 Senior Round 1

Question 3

Solve for $x$ in the following equation $$7^{x-1}+\frac17-\frac6{7^x}=0.$$
  1. $\log_6 7$
  2. $\log_6 14$
  3. $\log_7 6$
  4. $\log_7 12$
  5. $\log_7 14$