Question

Find the value of x in the following:

log₃ (x² – 19) = 4

Answer 1

To solve log₃ (x² – 19) = 4, convert it to exponential form:

3⁴ = x² – 19

Calculate 3⁴:

81 = x² – 19

Now solve for x²:

x² = 81 + 19 = 100

Take the square root of both sides:

⇒ `x = +- sqrt(100)`

⇒ x = ±10