Question

The number of bacteria in an experiment can be represented by f(x) = 4*,

Answer 1

Answer:

The correct option is A.

Explanation:

The number of bacteria in an experiment can be represented by an exponential function

$f(x)=4^x$

where, x represents the number of hours.

We need to find the value of x when f(x)=64.

Substitute f(x)=64 in the given function.

$64=4^x$

It can be rewritten as

$4^3=4^x$

On comparing both sides by get

$3=x$

The value of x is 3.

Since f(3)=64 it means the population of bacteria is 64 in 3rd hour.

Therefore the correct option is A.

Answer 2

The number of bacteria is represented with a function,

$f(x)=4^x$

The practise says $f(x)=64$ therefore,

$64=4^x$

We can rewrite this,

$4^x=4^3$

If bases are equal then exponents are too, from here the solution emerges,

$\boxed{x=3}$

The answer is A.

Hope this helps.

r3t40