An algebra problem by Sharad Roy

Algebra Level pending

\(If\quad a\quad =\quad \log _{ 6 }{ 9 } \quad and\quad b\quad =\quad \log _{ 12 }{ 27 } \quad then\quad \\ \quad the\quad value\quad of\quad (a\quad +\quad b\quad +\quad ab)\quad is\\ A)\quad \log _{ 6 }{ 81 } \\ B)\quad 3a\\ C)\quad \log _{ 2 }{ 3 } \\ D)\quad None\quad of\quad these\)

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