Question

Which of the following shows the equation log Subscript 4 Baseline (x + 6) = 2 rewritten using logarithms?
4 Superscript log Subscript 4 Baseline (x + 6) Baseline = 2 squared
4 Superscript log Subscript 4 Baseline (x + 6) Baseline = 4 Superscript 4
log Subscript 4 Baseline (x + 6) = log Subscript 4 Baseline 16
log Subscript 4 Baseline (x + 6) = log Subscript 2 Baseline 16

Answer 1

The correct choice is: log_4(x + 6) = log_4 16.

Reason: 2 = log_4 16 (because 4^2 = 16), so log_4(x+6) = 2 is equivalent to log_4(x+6) = log_4 16 (which gives x+6 = 16 ⇒ x = 10).