Answer:
A) x = (-8log(6)-2log(17))/(-2log(17)+log(6))
Step-by-step explanation:
Taking the logarithm of the equation, you have ...
(x+8)log(6) = (2x-2)log(17)
Subtracting the right side from the equation gives ...
x(log(6) -2log(17)) +8log(6)+2log(17) = 0
Subtracting the constant and dividing by the coefficient of x gives ...
x = -(8log(6) +2log(17))/(log(6) -2log(17)) . . . . . matches selection A
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You don't need to work out the whole solution to determine the correct answer choice. Once you take the initial log, you find that the x-coefficient includes a multiplier of 2log(17). This term only appears in the denominator of choice A. (The value of x will be found after dividing by the x-coefficient, so you know this must show up in the denominator of the answer.)
Step-by-step explanation:
-3x + 4 > 25
-3x > 21 (subtract 4 on both sides)
x < -7. (divide -3 on both sides, flip the sign)
Answer:
13
6
14
Step-by-step explanation:
x+6=7+6=13
p/5=30/5=6
2x+y=2(5)+4=10+4=14
Just plug in 100 for x
2(100)+1
200+1
Answer
201
and then for 25
2x+1=25
2x=24
Answer
X=12