Question

Please help ASAP

Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.

Hint: Use the change of base formula: log base b of y equals log y over log b.

Answer 1

Explanation:

I'm assuming that its 23 to the power x since you said it is an exponential equation.

as for the hint there is no specific base specified so I'll do the best I can with the answer.

Angie can begin solving by applying log to the base 23 on both sides. when this is done, Angie will be left with:

`log_(23)( {23}^(x) ) = log_(23)(6)`

and as we know the power rule in logarithms allows us to remove the power within the expression.

hence, we'll get:

`x log_(23)(23) = log_(23)(6)`

furthermore, if we have the same number and base within a logarithmic expression it will simply become 1 giving us the final answer:

`x = log_(23)(6)`

if the question that I've answered is different to yours please let me know and I'll make sure to fix it.

hope this helps :)