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svetoff [14.1K]
3 years ago
8

Please help me with logarithms!

Mathematics
2 answers:
Dmitry [639]3 years ago
3 0

Answer:

x=2ln(2)/(2ln(2)-ln(3))

Step-by-step explanation:

ln(4^x-1)=ln(3^x)

(x-1)ln(4)=ln(3^x)

(x-1)ln(4)=xln(3)

ln(4)x-ln(4)=xln(3)

ln(4)x=ln(3)x+2ln(2)

2ln(2)x-ln(3)x=2ln(2)

(2ln(2)-ln(3))x=2ln(2)

Therefore, x=2ln(2)/(2ln(2)-ln(3))

Liula [17]3 years ago
3 0

Answer:

4.819 =x

Step-by-step explanation:

4^(x-1) = 3^x

Take the log of each side

log (4^(x-1)) = log(3^x)

We know that log a^b = blog a

(x-1)  log 4 = x log (3)

Distribute

x log 4 -log 4 = x log 3

Subtract x log 4 from each side

x log 4 - x log 4 -log 4 = x log 3 - x log 4

- log 4 = x log 3 - x log 4

Factor out -x

- log 4 =- x ( log 4- log 3)

Divide by -1

log 4 = x (log 4 - log 3)

Divide each side by  (log 4 - log 3)

log 4 /  (log 4 - log 3) = x

4.81884167930641800 =x

Round to the nearest thousandth

4.819 =x

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An 8 oz glass of grape juice contains 0.6 mg of iron. About what percent of RDA of iron for an 15 year old male is provided by 8
babymother [125]

Answer:

5.45%


Step-by-step explanation:

To find info of a 15 year old male, you look at the Age Group of 14 - 18, beside Male.

The RDA of Iron is given as 11 mg

From a 8 oz glass of grape juice, he gets 0.6 mg.


<em>What percent is 0.6 mg of total 11 mg??</em>


Divide 0.6 by 11 and then multiply by 100 to get the answer. So we have:

\frac{0.6}{11}=0.0545*100=5.45

Thus, 5.45% of RDA of iron is provided by an 8 oz glass of grape juice.

6 0
3 years ago
It is worth 50 points so please help
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you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.

4 0
3 years ago
What is an equation of a line that passes through the points (8 , -3) (8 , 4)
elixir [45]

Answer:

Step-by-step explanation:

(8,-3),(8,4)

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7 0
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A number between 10 and 20 is both a foctor of 60 and<br>a multiple of 6.<br>What is the number?​
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Answer:

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Step-by-step explanation:

List out factors of 60 =

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List out multiples of 6 from 10 to 20.

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Since 12 is seen on one of the factors of 60 and a multiple of 6 between 10 and 20, the answer is 12.

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