Question
Use the Change of Base Formula to evaluate log 2 74.
Answers
GPT 3.5
To evaluate log 2 74 using the change of base formula, we can rewrite the logarithm as log 10 74 divided by log 10 2.
Now, we can use a calculator to find the values of log 10 74 and log 10 2:
log 10 74 ≈ 1.8692
log 10 2 ≈ 0.3010
Next, we divide log 10 74 by log 10 2:
log 2 74 = log 10 74 / log 10 2
≈ 1.8692 / 0.3010
≈ 6.2084
Therefore, log 2 74 ≈ 6.2084.
Now, we can use a calculator to find the values of log 10 74 and log 10 2:
log 10 74 ≈ 1.8692
log 10 2 ≈ 0.3010
Next, we divide log 10 74 by log 10 2:
log 2 74 = log 10 74 / log 10 2
≈ 1.8692 / 0.3010
≈ 6.2084
Therefore, log 2 74 ≈ 6.2084.