Answer: 1) 2.059
2) 3.220
<u>Step-by-step explanation:</u>
1) log₆ 40
= log₆(5 x 8)
= log₆5 + log₆8
= 0.898 + 1.161
= 2.059
2) log₆ 320
= log₆ (40 x 8)
= log₆40 + log₆8
= 2.059 + 1.161
= 3.220
Answer:
(
2
x
−
6
)
2
+
4
(
2
x
−
6
)
+
3
=
0
Simplify the left side.
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(
2
x
−
6
)
2
+
8
x
−
21
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
−
16
, and
c
=
15
into the quadratic formula and solve for
x
.
16
±
√
(
−
16
)
2
−
4
⋅
(
4
⋅
15
)
2
⋅
4
Simplify.
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x
=
4
±
1
2
The final answer is the combination of both solutions.
x
=
5
2
,
3
2
Step-by-step explanation:
The sign of the product would be the postitive sign because all three integers have the same sign.
The answer is -4k^2 - 21k - 20! so sorry if I’m wrong but it’s the answer I got :>