Question

Solve for x: log(3) + 2 log(x) = log(27)

Answer 1

Answer:

The solution is x = 3

Step-by-step explanation:

Hi there!

First, let´s write the equation:

log(3) + 2 log(x) = log(27)

Substract log(3) from both sides of the equation

2 log(x) = log(27) - log(3)

Apply logarithm property: log(a) -log(b) = log(a/b)

2 log(x) = log(27/3)

2 log(x) = log(9)

Apply logarithm property: log(xᵃ) = a log(x)

log(x²) = log(9)

Apply logarithm equality rule: if log(a) = log(b) then a = b

x² = 9

Apply square root to both sides of the equation

x = 3

The solution is x = 3

Have a nice day!