If log3 8 ≈1.8928, evaluate log3 72

Answers

Answer 1

Answer:

Final answer:

To evaluate log3 72, given that log3 8 is approximately 1.8928, we use properties of logarithms. We can express 72 as 8×9, and since log3 9 equals 2, log3 72 is 1.8928 + 2, which is 3.8928.

Explanation:

The student is asking to evaluate log3 72 given that log3 8 ≈1.8928. We can use the properties of logarithms to solve this. Since 72 can be expressed as 8×9, and we know that log3 8, we can find the log3 9 by understanding that 9 is 3²and therefore log3 9 is 2, because the base and the argument are the same.

Now, using the property of logarithms that loga (xy) = loga x + loga y, we can write log3 72 as:

log3 (8 ∙9) = log3 8 + log3 9

log3 72 = 1.8928 + 2

log3 72 = 3.8928

Learn more about Logarithms here:

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Answer 2

Answer:

Answer:

≈ 3.8928

Step-by-step explanation:

log base 3 of 72 is approximately 3.8928

you would need to plug this into a calculator to solve

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