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sveta [45]
4 years ago
14

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

Mathematics
1 answer:
Brut [27]4 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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Step-by-step explanation:

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Have a great day!

5 0
3 years ago
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yan [13]

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4 0
3 years ago
Read 2 more answers
4/25 of the purchases were stuffed animals. 10/21 of them were bears. What fraction of the purchases were stuffed bears?
Bess [88]
Let's name all the purchases "x"

so \frac{4}{25}of them were stuffed animals, and out of that \frac{10}{21} were bears.

to get the results we have to multiply the fraction of bears by the fraction of the stuff animals:

\frac{4}{25}*\frac{10}{21}.
 
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4 0
3 years ago
Given o below the arcs, wx and yz must be congruent.
tensa zangetsu [6.8K]

Answer:

True.

Step-by-step explanation:

The arcs subtend the same equal angles at the center of the circle, i.e ∠YOZ=∠WOX= 27°. They are also bound by radii. All radii of the same circle are equal thus he two arcs are equal in length. OY= WO= XO= OZ

Therefore the two arcs wx and yz are congruent

 

4 0
3 years ago
What is the discontinuity and zero of the function f(x) = 3x^2 + x - 4 / x-1
7nadin3 [17]
Ans: Option (1) <span>Discontinuity at (1, 7), zero at ( negative four thirds , 0) 
</span>
Explanation:
Given function:
f(x) =  \frac{3x^2 + x - 4}{x-1}

Now if we plug in the x = 1, we would have discontinuity as function goes to infinity.

Now for f(1):
f(x) = \frac{3x^2 + x - 4}{x-1} \\ f(x) = \frac{3x^2 + 4x - 3x - 4}{x-1} \\ f(x) = \frac{x(3x+4)-1(3x+4)}{x-1} \\ f(x) = \frac{(x-1)(3x+4)}{(x-1)} \\ f(x) = 3x+4 \\ now ~ insert ~ x=1: \\ f(1) = 3(1) + 4 = 7 \\ It~means~discontinuity~at~(1,7).\\ Now~let~us~find~zeros.\\ put~ f(x) = 3x+4 ~ equals~ to ~zero. \\ =\ \textgreater \ ~3x+4 = 0 \\ =\ \textgreater \  ~ x =  \frac{-4}{3} \\ Hence~zeros=(  \frac{-4}{3}, 0)

5 0
3 years ago
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