Solve log_10(x + 3) = 2 for x.
Note
Convert the logarithmic equation into exponential form. The statement log_10(x + 3) = 2 means x + 3 = 10^2. Now calculate 10^2 = 100, so x + 3 = 100. Subtract 3 from both sides: x = 100 - 3 = 97. Finally, check the domain: x + 3 must be positive, and 97 + 3 = 100 > 0, so the answer is valid.
