Question

For $log_4 3$, (a) Estimate the value of the logarithm between two consecutive integers. For example, $log_2 7$ is between 2 and 3 because $2^2 < 7 < 2^3$. (b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places. (c) Check the result by using the related exponential form.

          For $log_4 3$,
(a) Estimate the value of the logarithm between two consecutive integers. For example, $log_2 7$ is between 2 and 3 because $2^2 < 7 < 2^3$.
(b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places.
(c) Check the result by using the related exponential form.

For log4 3,
(a) Estimate the value of the logarithm between two consecutive integers. For example, log2 7 is between 2 and 3 because 2^2 < 7 < 2^3.
(b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places.
(c) Check the result by using the related exponential form.

Added by Ivan R.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Yujie Wang

04/30/2022

Step 1

Therefore, log43 is between 2 and 3. Show more…

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For log43, (a) Estimate the value of the logarithm between two consecutive Integers. For example, log 7 is between 2 and 3 because 22 <7<23 (b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places. (c) Check the result by using the related exponential form.