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DENIUS [597]
3 years ago
11

Solve 2^(3x-4)=5 round to the nearest ten-thousandth

Mathematics
2 answers:
GaryK [48]3 years ago
4 0
2^(3x-4)=5
ln(2^(3x-4)=ln 5
(3x-4)ln 2=ln 5                    (log_a x^n=n*log_a x)
3x-4=ln 5/ln 2
3x=(ln 5 / ln 2)+4
x=[(ln 5 / ln 2)+4]/3
x≈2.1073

Answer:    x=[(ln 5/ln 2) +4]/3            (≈2.1073)
noname [10]3 years ago
3 0
You can use logarithm for this question:
If you convert the provided equation into logarithm, you should get:
Log _2 5= (3x-4)
You plug log_2 (5) into a calculator, I dont have one with me so you will have to do the calculation, then solve for x

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The Polar Express
Igoryamba

Answer:

for 12-8: 33.33

or

for 8-4: 50

or

for 12-4: 66.67

Step-by-step explanation:

4 0
2 years ago
What does y=2x+3 equal?
posledela
Y = X times 2 + 3 if that's what you're asking so y = 5x
Explanation:
2+3=5 so 5x bc x isn't a number
4 0
3 years ago
Which number is composite?<br> 31<br> 43<br> 37<br> 49
Alina [70]

A composite number is one that can be made by multiply two numbers to each other. Since 49=7*7, 49 is a composite number.

Check:

You can check a multiplication chart, but you will see that 49 is the only one that can be multiplied by 2 numbers

4 0
3 years ago
B A pair of fair dice is rolled, If the sum of the spots is 7, determine the probability that one di showed a 2.
finlep [7]

Answer:

\text{Probability}=\frac{1}{3}

Step-by-step explanation:

Given : A pair of fair dice is rolled, If the sum of the spots is 7.

To find : Determine the probability that one die showed a 2 ?

Solution :

A pair of fair dice is rolled the outcomes are,

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The sum of the spots is 7 i.e. (4,3),(2,5),(5,2),(3,4),(1,6),(6,1).

Total possibility = 6

Favorable outcome is that one die showed a 2 i.e. (2,5),(5,2)= 2

The probability that one die showed a 2 is given by,

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}

\text{Probability}=\frac{2}{6}

\text{Probability}=\frac{1}{3}

8 0
3 years ago
Reggie cuts 2 feet from a 9​-foot length of rope. Then he cuts 14 inches from the rope. How many inches of rope are​ left?
babunello [35]

Answer:

He is left with 5 feet and 10 inches.

4 0
2 years ago
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