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inysia [295]
3 years ago
15

What values must x have so that log (x) is greater than 2? justify your answer

Mathematics
1 answer:
kotegsom [21]3 years ago
3 0

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.

log(x)>2

According to the property of logarithm, if a is a real number.

log(x)=a \Rightarrow x=10^a

Using the above property of logarithm, the given inequality can be rewritten as

x>10^2

x>100

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.

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