Question

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

Answer 1

Answer:

C

Step-by-step explanation:

A. False.

The equation $\log_4(x+6)=2$ is equivalent to the equation

$4^{\log _4(x+6)}=4^2$

The right side is $4^2$ not $2^2$

B. False.

The equation $\log_4(x+6)=2$ is equivalent to the equation

$4^{\log _4(x+6)}=4^2$

The right side is $4^2$ not $4^4$

C. True.

Since $\log_416=\log_44^2=2\log_44=2\cdot 1=2,$ then the equation $\log_4(x+6)=2$ is equivalent to the equation $\log_4(x+6)=\log _416$

D. False.

Since $\log_216=\log_22^4=4\log_22=4\cdot 1=4,$ this option is false

Answer 2

Answer:

c

Step-by-step explanation: