QuestionSolve the equation $2^{x+6}=7$ and find the decimal approximation of $x$ to two decimal places.

Studdy Solution
Now, we can use a calculator to compute the decimal approximation of the right side of the equation. Remember to round to two decimal places.
$$x=\frac{\ln(7)}{\ln(2)}-6 \approx -3.81$$So, the solution to the equation $2^{x+6}=7$ is $x \approx -3.81$.