Question

log a(a^3b^2)= 7

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Answer 1

$log _{a} ( a^{3} b^{2})= 7\\\\ log _{a} a^{3}+log _{a} b^{2} =7\\\\3log _{a}a+2log _{a}b =7\\\\3+2log _{a}b=7\\\\2log _{a}b=4\\\\ log _{a} b=2\\\\b= a^{2}$