14^(7x) = 17^(-8-x)
Take the log of both sides:
7x*log 14 = -(8+x)*log 17, or 7x^log 14 = -8*log 17 - x*log 17.
Grouping the x terms, we get x(7*log 14 + log 17)= -8*log 17
Then:
-8*log 17
x= -------------------------- (answer)
7*log 14 + log 17
Answer:
3872/(x^2 - 2)
Step-by-step explanation:
Simplify the following:
(16^3 - 3^2 - 5×43)/(x^2 - 2)
3^2 = 9:
(16^3 - 9 - 5×43)/(x^2 - 2)
16^3 = 16×16^2:
(16×16^2 - 9 - 5×43)/(x^2 - 2)
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
(16×256 - 9 - 5×43)/(x^2 - 2)
16×256 = 4096:
(4096 - 9 - 5×43)/(x^2 - 2)
43 (-5) = -215:
(4096 - 9 + -215)/(x^2 - 2)
4096 - 9 - 215 = 3872:
Answer: 3872/(x^2 - 2)
Step-by-step explanation:
step one Distribute
x−45=8(2x+3)−18
x−45=16x+24−18
step two Subtract the numbers
x−45=16x+24−18
x−45=16x+24−18
Answer:
3
Step-by-step explanation:
3 is the complete oposite of -1/3 in terms of slopes, therefore they are perpendicular to each other.
Answer:
900m or 300m
Step-by-step explanation:
45 x 20 = 900
30 x 10 = 300
