solve the equation, justify your response by showing mathematical steps

Answer:
1.5
Explanation:
First, let us divide both sides by 3. This gives
[tex]10^{2y}=\frac{3600}{3}[/tex][tex]10^{2y}=1200[/tex]Taking the log_10 of both sides gives '
[tex]log_{10}\mleft(10^{2y}\mright)=log_{10}\mleft(1200\mright)[/tex][tex]2y=log_{10}\left(1200\right)[/tex]Since log_10 (1200) = 3.079, the above becomes
[tex]2y=3.079[/tex]finally, dividing both sides by 2 gives
[tex]y=1.54[/tex]which is our answer!