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

asked Mar 6, 2021 111k views

5 votes

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

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1 vote

Answer:

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

x = -2.03466172

Explanation:

Jbrennan answered Mar 8, 2021

3.7k points

4 votes

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 :

$4x+11=25\implies 4x=14\implies x=\frac{14}4=\boxed{\frac72}$

Yannis answered Mar 12, 2021

4.4k points

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