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yaroslaw [1]
4 years ago
11

Use the laws of logarithms and the values given below to evaluate the logarithmic expression (picture provided)

Mathematics
2 answers:
koban [17]4 years ago
8 0

Answer: option b.

Step-by-step explanation:

To solve the given exercise, you must keep on mind the following law of logaritms:

m*log(a)=log(a)^m

Descompose 8 into its prime factors:

8=2*2*2=2^3

Therefore,  you can rewrite the expression given, as following:

log8=log2^3=3log2

You know that log2=0.3010

Then, when you substitute, you obtain:

3*0.3010≈0.9030

salantis [7]4 years ago
5 0

Factor out 8 using 2.

log(8) = log(2^3)

Use the product rule [ log(xy) = log(x) + log(y) ] to simplify.

log(2^3) = 3 log(2)

Simplify using the given value for 2.

3(0.3010)

0.9030

Therefore, log(8) ≈ 0.9030 (Option B)

Best of Luck!

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