Answer:
D. X=1.75
Step-by-step explanation:
To start, let’s divide both sides by 4.
So 3^x =27.48/4
Since we want to solve for x, we take the log_3 of both sides.
So [tex]log_{3}3^x[/tex]=[tex]log_{3}6.87[/tex]
Using the laws of logs, we get
[tex]x*log_{3}3[/tex]=[tex]log_{3}6.87[/tex]
since [tex]log_{3}3[/tex] is 1, we get
X=[tex]log_{3}6.87[/tex]
Using a calculator, we find that x is about 1.75
