Log Squared Calculator

Log Squared Calculator is a handy free calculator for calculating the square of the value of the logarithm. The base of the logarithm can be input by yourself, it can be 2, 10, natural number e or other numbers.

Just like its name, Log squared refers to the square of the logarithmic value. The expression for the square of the logarithmic value is (log_ab)² or log²_ab.

Not the logarithm of the square of the number log_ab².

Note that they have different meanings and the results are not necessarily the same.

For example

(log₂4)² = 2² = 4

 

log₂4² = log₂16 = 4

At this point, their answers are all 4.

Another example

(log₂2)² = 1² = 1

 

log₂2² = log₂4 = 2

Obviously, they are not the same.

Clearly, computing the log squared requires two steps.

First, calculate the value of the logarithm.

Second, calculate the square of the logarithm.

For instance, find the square of the log base 3 of 27.

Step 1, calculate the log base 3 of 27.

log₃27 = 3

Step 2, calculate the square.

3² = 9

Therefore, the square of the base 3 logarithm of 27 is 9.

Same as the Logarithmic Calculator, just enter the base and number you want to calculate the logarithm of, and then click ‘Calculate’. If the base is not entered, the default base is 10.

The Log Squared Calculator is a combination calculator that combines computing logarithmic values with squares. Here, you can calculate the square of the logarithmic value in one step. It must be a nice helper. Do you think so?