Question

9. The solution to an exponential equation is x equals fraction numerator 5 ln left parenthesis 11 right parenthesis minus 2 ln left parenthesis 4 right parenthesis over denominator 2 ln left parenthesis 4 right parenthesis minus 5 ln left parenthesis 11 right parenthesis end fraction. Create an exponential equation* that has this solution. Explain how you did found it and show your work you used to find it. *The equation should have a form similar to 12 to the power of 3 x plus 2 end exponent equals 7 to the power of 5 x plus 2 end exponent.Note: the 12 to the power of 3 x plus 2 end exponent equals 7 to the power of 5 x plus 2 end exponent equation does NOT work, it is simply an example of what the form looks like.Hint: Start with the solution and work backwards. You may want to solve the 12 to the power of 3 x plus 2 end exponent equals 7 to the power of 5 x plus 2 end exponent equation to get an idea of how to work backwards. You do not need to show me the work for solving the 12 to the power of 3 x plus 2 end exponent equals 7 to the power of 5 x plus 2 end exponent.

Answer 1

Okay, here we can create the exponential equation of this way: