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7. log₃216 = log₃ (6³) =
3log₃ (6) =
3log₃ (2*3) =
3log₃ (2) + log₃ (3)
= 3*(a+1)
8. log₄ (24) =
log₂^2 (24) =
1/2 *log₂ (24) =
1/2* log₂ (8*3) =
1/2 * (log₂ 8 + log₂ 3) =
1/2 *(log₂ 2³ + log₂ 3) =
1/2 *(3+ log₂ 3) =
3/2 + log₂ 3/2 =
(3+a)/2