Find the unknown using the definition of the logarithm x = log3 27.

x = log3 27. Logarithm is a power. In this case, this is the power to which the number 3 is raised, because the base of the logarithm is 3. And the number should be 27. So, let’s check:

1) If the degree is 2, then 3 ^ 2 = 3 * 3 = 9 – does not fit,

2) If the degree is 3, then: 3 ^ 3 = 3 * 3 * 3 = 9 * 3 = 27. Suitable.

Answer: x = 3.