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!
