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aleksklad [387]
3 years ago
4

Given log Subscript 3 Baseline 2 almost-equals 0.631 and log Subscript 3 Baseline 7 almost-equals 1.771, what is log Subscript 3

Baseline 14?
Mathematics
2 answers:
Vadim26 [7]3 years ago
8 0

Answer:

C

Step-by-step explanation:

:)

zloy xaker [14]3 years ago
6 0

Answer:

2.402

Step-by-step explanation:

I am going to write log subscript a baseline b as log_a(b)

Using the log rules we know one that says log_a(b*c) = log_a(b) + log_a(c)

We know log_3(2) and log_3(7).  What if we add them up?

log_3(2) + log_3(7)

Then using that log rule we get:

log_3(2) + log_3(7) = log_3(2*7) = log_3(14)

Since we know log of 2 and 7 individually we can just add them up.

log_3(14) = log_3(2) + log_3(7) = .631 + 1.771 = 2.402

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