What is 2(log3(8) + log3(z)) - log3(3^4 - 7^2) written as a simple logarithm?
2 answers:
Answer:
the answer is
B on edge
Answer:
log₃(2z²)
Step-by-step explanation:
2(log₃8 + log₃z) - log₃(3⁴ - 7²)
= 2[log₃(2³) + log₃z] - log₃(81 - 49)
= 2(3log₃2 + log₃z) - log₃(32)
= 6log₃2 + 2log₃z - log₃(2⁵)
= 6log₃2 + 2log₃z - 5log₃2
= log₃2 + log₃(z²)
= log₃(2z²)
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