Answer:
19.
log9(5x^2 + 10) - log9(10) = 1
<=> log9((5x^2 + 10)/10) = log9(9)
<=> (5x^2 + 10)/10 = 9
<=> 5x^2 + 10 = 90
<=> 5x^2 = 80
<=> x^2 = 16
<=> x = +/- (4)
20.
log5(2x^2 + 4) + log5(3) = 2
<=> log5((2x^2 + 4) x 3) = log3(9)
<=> 6x^2 + 12 = 9
<=> 6x^2 = -3
=> No real x satisfies. ( x^2 always larger or equal to 0)
21.
log6(8) + log6(7 - 2x^2) = 2
<=> log6(8 x (7 - 2x^2)) = log6(36)
<=> 56 - 16x^2 = 36
<=> 16x^2 = 20
<=> x^2 = 5/4
<=> x = +/- sqrt(5/4)
Hope this helps!
:)
Can you take a picture of the question so I can solve it
Answer:
A and C are proportional relationships.
Step-by-step explanation:
Recall that a "proportional relationship" has no constant term. Thus, we eliminate Answers B and D immediately.
Answer A represents a proportional relationship: y varies directly with the square of x.
Answer C also represents a proportional relationship: y varies directly with x.
Answer:
5(2a − 3) = (2a − 3) ⋅ 5
Step-by-step explanation:
Commutative Property of Multiplication is switching the order of the numbers around, and that answer demonstrates just that.
Answer:
x = 6/11
Step-by-step explanation:
−23(3x−4)+3x=56
Distribute
-69x + 92 +3x = 56
Combine like terms
-66x+92 = 56
Subtract 92 from each side
-66x+92-92 = 56-92
-66x =-36
Divide each side by -66
-66x/-66 = -36/-66
x = 6/11
