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

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!