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DIA [1.3K]
3 years ago
13

. Approximate each of the following logarithms to four decimal places. Use the LOG key on your calculator rather than logarithm

tables, first changing the base of the logarithm to 10 if necessary.
log2(3^2)
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
5 0

Answer:

log_2(6)=2.584

Step-by-step explanation:

Here the logarithm has base 2

log_2(3^2)=log_2(6)

Let

log_2(6)=x

log_ya=x\\\Rightarrow y^x=a

\\\Rightarrow 2^x=6

Now, take logarithm to the base 10

log 2^x=log6\\\Rightarrow xlog2=log6\\\Rightarrow x=\frac{log6}{log2}\\\Rightarrow x=2.584

So, log_2(6)=2.584

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