Answer:
x = -12
Step-by-step explanation:
Set logs up on both sides-
log 16^x = log 64^x+4
The variable goes behind because of the exponent log <em>property</em> (exponents are permitted to go behind the log to multiply)-
x * log 16 = x + 4 * log 64
Divide both logs out-
log 64/log 16 = 1.5
Simplify-
x = x+4(1.5)
1.5x + 6 = x
Remove 1.5-
1 - 1.5 = -.5x
Simplify-
-.5x = 6
Divide both sides-
6/-.5x = -12
Hence, the answer would be -12
A bag contains four red marbles, two Yellow Marbles and five blue marbles.
Two marbles are drawn at random without replacement.
Total number of marbles are,

There are 11 ways to select first marble and 10 ways to select second marble.
The total number of possible outcomes are calculated as,

Thus the total number of possible outcomes are 110.
Answer:
1. C
2. B
3. C
4. A
5. D
Step-by-step explanation:
Answer:
2 cm per hour
Step-by-step explanation:
1 hour lines up with 2cm
2 hours line up with 4cm
3 hours line up with 6cm