What is the solution of log3(x) + 5 = 16 – 2?

To solve the equation log₃(x) + 5 = 16 – 2, we first simplify the right side of the equation:

16 – 2 = 14.

Thus, we rewrite the equation as:

log₃(x) + 5 = 14.

Next, we subtract 5 from both sides:

log₃(x) = 14 – 5

This leads us to:

log₃(x) = 9.

To eliminate the logarithm, we can convert the logarithmic equation to its exponential form:

x = 3⁹.

Calculating 3⁹, we find:

3⁹ = 19683.

Therefore, the solution to the equation is:

x = 19683.