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stich3 [128]
3 years ago
15

Simplify the logarithm log2(32)

Mathematics
2 answers:
Rom4ik [11]3 years ago
6 0

let log2 32 = x

then 2^x = 32

but we know 2^5 = 32

therefore, x = 5

chubhunter [2.5K]3 years ago
5 0

Answer:

log_{2}(32)=5

Step-by-step explanation:

To simplify the log_{2}(32) we can use the logarithmic base change property:

log_{a}(b) = \frac{log_{c}(b)}{log_{c}(a)}.

Where a, b and c are real numbers.

Then we can transform the base 2 log into a base 10 logarithm.

log_{2}(32) = \frac{log(32)}{log(2)}

log_{2}(32) = \frac{1.505}{0.3010}

log_{2}(32)=5

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