The number of players of an online games tripled each week

Question

The function f(x)=3^x represents the number of players in week x
When are there 81 players?

Answer 1

To find out when there are 81 players using the function \( f(x) = 3^x \), we need to set the function equal to 81 and solve for \( x \):

\[ 3^x = 81 \]

We know that \( 81 \) can be expressed as a power of \( 3 \):

\[ 81 = 3^4 \]

Now we can rewrite the equation:

\[ 3^x = 3^4 \]

Since the bases are the same, we can set the exponents equal to one another:

\[ x = 4 \]

Thus, there will be 81 players in week \( x = 4 \).