Turn both sides into powers of 5:
[tex]\log_5(4x+11)=2\implies 5^{\log_5(4x+11)}=5^2\implies4x+11=25[/tex]
Solve for x :
[tex]4x+11=25\implies 4x=14\implies x=\dfrac{14}4=\boxed{\dfrac72}[/tex]
Answer:
x = 2 - log(48828125) / log(625)
x = -2.03466172
Step-by-step explanation:
