What is the value of f(125) and (1/25) if the equation is f(x)= log subscript 5 x? Don't have a Clue!
look at the answer I gave emma in the post above this one
To find the value of f(125) and f(1/25) when the equation is f(x) = log subscript 5 x, we can use the logarithmic properties.
First, let's find the value of f(125). In the given equation, f(x) = log subscript 5 x, we are looking for f(125), which means we need to plug in 125 for x.
Using the logarithmic property, we can rewrite log subscript 5 125 as log 125 / log 5. Evaluating this expression using a calculator, we find that log 125 / log 5 is approximately 3, as log 125 is 2.096 and log 5 is 0.699.
So, the value of f(125) is 3.
Now, let's find the value of f(1/25). Similarly, we plug in 1/25 for x in the equation f(x) = log subscript 5 x.
Using the logarithmic property, we can rewrite log subscript 5 (1/25) as log (1/25) / log 5. Evaluating this expression using a calculator, we find that log (1/25)/ log 5 is approximately -2.
So, the value of f(1/25) is -2.
In summary:
- The value of f(125) is 3.
- The value of f(1/25) is -2.