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sveta [45]
3 years ago
14

Log*subscript*(3x − 2) 4096 = 3 I got x= negative 6 is this correct??

Mathematics
1 answer:
Brut [27]3 years ago
8 0
Remember

log_a(b)=c translates to a^c=b
and
log_a(b^c)=clog_a(b)
so


4096=16^3
log_{3x-2}(4096)=3
log_{3x-2}(16^3)=3
3log_{3x-2}(16)=3
divide both sides by 3
log_{3x-2}(16)=1
translate
(3x-2)^1=16
3x-2=16
add 2 to both sides
3x=18
divide both sides by 3
x=6
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x = 12

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Step-by-step explanation:

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One week a computer store sold a total of 36 computers and external hard drives. the revenue from these sales was ​$30875 . if c
melamori03 [73]

To solve this problem you must apply the proccedure shown below:

1. You must make a system of equation by using the information given in the problem above. Then, let's call:

x: The number of computers sold.

y: The number of hard drives sold.

2. Therefore, you have the following system of equations:

\left \{ {{x+y=36} \atop {1180x+125y=30875}} \right.

2. Solve for x in the first equation and substitute it into the second equation:

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3 years ago
If f(1) = 2 and f(n) = f(n − 1)² + 4 then find the value of ƒ (3).
erma4kov [3.2K]

Answer:

f(3) = 68

Step-by-step explanation:

→ f(1) = 2 ⇒ f(2) = f²(2 − 1) + 4

                     = f²(1) + 4

                     = 2² + 4

                     = 8

………………………………………………

→ f(2) = 8 ⇒ f(3) = f²(3 − 1) + 4

                      = f²(2) + 4

                      = 8² + 4

                      = 64 + 4

                      = 68

6 0
2 years ago
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