How do you solve 3log_3 4a=3?

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asked Oct 28, 2017 72.4k views

1 Answer

Tamir Scherzer · Answer 1 · 2017-11-04T02:45:53+0000

3 log₃ 4a=3

1)a(log_b c)=log_b c^a
log₃(4a)³=3

2) log_a x=n ⇔ a^n=x
log₃ (4a)³=3 ⇔ 3³=(4a)³
27=64a³
a³=27/64
a=∛(27/64)
a=3/4

Answer: a=3/4

How do you solve 3log_3 4a=3?

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