What values must x have so that log (x) is greater than 2? justify your answer
1 answer:
Answer:
The value of x must be greater than 100.
Step-by-step explanation:
We need to find the value x for which the value of log(x) is greater than than 2.
According to the property of logarithm, if a is a real number.
Using the above property of logarithm, the given inequality can be rewritten as
We conclude that the value of log(x) is greater than 2 for real values of x which are greater than 100.
Therefore, the value of x must be greater than 100.
You might be interested in
Correct Ans:
Option A. 0.0100
Solution:
We are to find the probability that the class average for 10 selected classes is greater than 90. This involves the utilization of standard normal distribution.
First step will be to convert the given score into z score for given mean, standard deviation and sample size and then use that z score to find the said probability. So converting the value to z score:
So, 90 converted to z score for given data is 2.326. Now using the z-table we are to find the probability of z score to be greater than 2.326. The probability comes out to be 0.01.
Therefore, there is a 0.01 probability of the class average to be greater than 90 for the 10 classes.
Option A. 0.0100
Solution:
We are to find the probability that the class average for 10 selected classes is greater than 90. This involves the utilization of standard normal distribution.
First step will be to convert the given score into z score for given mean, standard deviation and sample size and then use that z score to find the said probability. So converting the value to z score:
So, 90 converted to z score for given data is 2.326. Now using the z-table we are to find the probability of z score to be greater than 2.326. The probability comes out to be 0.01.
Therefore, there is a 0.01 probability of the class average to be greater than 90 for the 10 classes.