Answer :
The function F(x) = log5 x is increasing because as x increases, the value of the logarithm also increases.
The function F(x) = log5 x is increasing. In general, a function is considered increasing if its values increase as the input values increase. In the case of the logarithmic function F(x) = log5 x, this is true.
To understand why the function is increasing, let's consider its properties.
The logarithm function is defined as the inverse of an exponential function.
In this case, F(x) = log5 x represents the power to which the base 5 must be raised to obtain the value x.
When x increases, the value of log5 x also increases.
This is because as x gets larger, the power to which 5 must be raised to obtain x becomes larger as well. Consequently, the value of the logarithm increases.
For example, if we compare log5 1 and log5 10, we find that log5 1 is 0, while log5 10 is approximately 1.43.
As 10 is greater than 1, the value of the logarithm increases.
In conclusion, the function F(x) = log5 x is increasing because as x increases, the value of the logarithm also logarithm.
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