# If log 3 = A and log 7 = B, findlog_7 9in terms of A and B.

If $$\log 3 = A \text{ and } \log 7 = B$$, find
$$\log_7 9$$
in terms of A and B.

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Use the change of base property:
$$\log_7 9 =\frac{\log9}{\log7}=\frac{\log3^2}{B}=\frac{2\log3}{B}$$
$$=\frac{2A}{B}$$