The answer: t = 64 .
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→ log ₈ t + 7 = 9 ; → Subtract "7" from EACH SIDE of the equation:
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→ log ₈ t + 7 − 7 = 9 − 7 ;
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→ to get:
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→ log ₈ t = 2 ; ↔ 8² = t ; → 64 = t ; ↔ t = 64 ; which is our answer.
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→ Note: log ₈ 64 = 2 ; AND ↔ 8 ² = 64 .
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Note: The logarithm definition:
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→ y = log ₐ x ; IF AND ONLY IF: x = a ʸ ; and: a > 0; and: a ≠ 1 .
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