Solve: log2(x-4) = 4 a) 4 b) 8 c) 12 d) 20

D

Step-by-step explanation:

using the rule of logarithms

• x = n ⇔ x =

(x - 4) = 4

⇒ x - 4 = = 16 ( add 4 to both sides )

x = 20 → D

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

b. astronomers