Question

Find the solution of the exponential equation
in terms of logarithms, or correct to four decimal places.

Answer 1

\[2^{2x+9}=3^{x-8}\]

Answer 2

\[x=\frac{-9 \log (2)-8 \log (3)}{2 \log (2)-\log (3)}=-52.235520991330255 \]If the numeric value of x is plugged into x in the following expression\[2^{9+2 x}-3^{-8+x} \]the result is\[-1.5414283107572988*10^{-43} \]