1044.67=4^x

solve for x without the log function

To solve for x without using the log function, we can rewrite 4 as 2^2.

Therefore, the equation becomes:

1044.67 = (2^2)^x

1044.67 = 2^(2x)

To solve for x, we need to find the exponent that 2 needs to be raised to in order to get 1044.67.

2^(10) = 1024
2^(11) = 2048

So, x should be between 10 and 11.

Let's try the midpoint of 10 and 11:

2^(10.5) = 1048

This is closer to 1044.67 than 1024, so x is approximately 10.5.

Therefore, x is approximately equal to 10.5.