Question 1130839
<br>
{{{3^(2x-5)+7 = 12}}}<br>
Isolate the term containing the variable:<br>
{{{3^(2x-5) = 5}}}<br>
The variable is in an exponent, so take the log of both sides:<br>
{{{(2x-5)*log(3) = log(5)}}}<br>
Expand the expression on the left and isolate the term containing the variable:<br>
{{{2x*log(3)-5*log(3) = log(5)}}}
{{{2x*log(3) = 5*log(3)+log(5)}}}<br>
Solve for x:<br>
{{{x = (5*log(3)+log(5))/(2*log(3))}}}<br>
----------------------------------------------
question from student (about an unrelated problem):<br>
 Hello, I have a basic math question and I think the person who gave me the answer got offended. In the equation, K=100*20squared/8, how do you get 500. Isn't 20 squared 400 then divided by 8=50?<br>
What happened to the "100"?<br>
100*20squared/8 = 100*400/8 = 100*50 = 5000