The given information is that log 2 is equal to 0.3010.


Logarithm is the inverse operation of exponentiation. It helps us find the exponent to which a base number must be raised to obtain a given number.


To find the value of log 5, we need to find the exponent to which the base number 10 must be raised to obtain 5.

In other words, we need to find x in the equation 10^x = 5.


We know that log 2 is equal to 0.3010, which means 10^0.3010 = 2.


We can rewrite the equation 10^x = 5 as log 10^x = log 5.
Using the property of logarithms, we can bring down the exponent x as a coefficient:
x * log 10 = log 5.


We know that log 10 is equal to 1, so we have:
x * 1 = log 5.


Since any number multiplied by 1 is itself, we have:
x = log 5.


We can substitute the given value of log 2 (0.3010) into the equation:
x = 0.3010.

Therefore, the value of log 5 is 0.3010.

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