Which of the following options is an equivalent function to f(x) = 2(5)2x?
f(x) = 50x
f(x) = 100x
f(x) = 2(25)x
f(x) = 4(25)x
help please
please help
The way you typed it, none of them
Perhaps you mean
f(x) = 2 * (5)^2 * x
= 2 * 25 * x
= 50 x
but 2(25) x also works
I think you want 2*5^(2x) = 2*(5^2)^x = 2*25^x
To determine the equivalent function to f(x) = 2(5)2x, let's simplify it step-by-step.
First, simplify the innermost expression by multiplying 5 by 2:
f(x) = 2(10)2x
Next, simplify the exponent, raising 10 to the power of 2:
f(x) = 2(100)x
Finally, distribute the coefficient 2 to get the final form:
f(x) = 200x
Therefore, the equivalent function is f(x) = 200x.
Out of the given options, the correct answer is:
f(x) = 100x