Question

find the value of log 2 and log 4
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Answer 1

Explanation:

Step 1:

4 is a perfect square number. It can be represented as 2 to the power 2.

4 = 22

Step 2:

Apply logarithmic function to the base 10 on both sides of the above equation. Log of 4 to the base 10 is given as:

Log 104 = Log 1022

Step 3:

Using the power rule of logarithms, log4 can be written as the product of 2 and log 2.

Log 104 = 2 Log 102

Step 4:

Calculate the value of log 2 to the base 10 using the inverse of logarithmic function or exponential function as follows:

LogaX = Y => X = aY

If Log102 = Y, then it can be written in the form of exponents as 2 = 10Y

Step 5:

Determine the value of Y which gives the value of Log 102.

There is no simple method to calculate the value of Y in the equation depicted in step 4. However, the value can be determined using a scientific calculator. A few complex mathematical calculations give the value of Y as ‘0.30103’.

Answer 2

Answer:

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