Step-by-step explanation:
log2x = 1 - log(x+4)
log2x = log10 - log(x+4)
log2x = log[10/(x+4)]
2x = 10/(x+4)
2x(x+4) = 10
2x² + 8x - 10 = 0
÷2 both sides of equation
x² + 4x - 5 = 0
(x+5)(x-1) = 0
x = -5, 1
x isn't be -5 because logA, A need to be > 0
So, x value is 1
Answer:
53/10, 5 9/25 ; 5.81 ; 5.818
Step-by-step explanation:
To find the solution we need to make some calculations:
53/10 = 5.3
5 9/25 = 5.36
So we have that the solution is:
53/10, 5 9/25 ; 5.81 ; 5.818
Answer: -2 4/15
Step-by-step explanation: To properly subtract, we need to find a common denominator. We can list the multiples of 3 and 5 to find the common denominator:
3: 3, 6, 9, 12, 15
5: 5, 10, 15
The first common multiple we see is 15.
Calculation:
3 · 3 = 9
9 + 1 = 10
3 1/3 = 10/3
5 x 5 = 25
25 + 3 = 28
-5 3/5 = -28/5
Now to convert into fifteen as the denominator:
-28/5 = -28 x 3/5 x 3 = -84/15
10/3 = 10 x 5/3 x 5 = 50/15
Now to subtract accordingly:
50/15 - 84/15 = -34/15
Final answer: -34/15 (can be reduced to -2 4/15).
Answer:
132/100, or 1.32
Step-by-step explanation:
Just change 13/10 to 130/100 and add 2/100 to make it 132/100, or 1.32 :)
0.5, you would divide 0.375 to cancel out the height and then divide 0.75 (the new volume after you divided 0.375 by the height) by 1.5 to cancel out the x
