Question

Log Equation: Solve the following Log5(4x+11)=2

Answer 1

Answer:

x = 2 - log(48828125) / log(625)

x = -2.03466172

Step-by-step explanation:

Answer 2

Turn both sides into powers of 5:

$\log_5(4x+11)=2\implies 5^{\log_5(4x+11)}=5^2\implies4x+11=25$

Solve for x :

$4x+11=25\implies 4x=14\implies x=\dfrac{14}4=\boxed{\dfrac72}$