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Digiron [165]
3 years ago
13

3^x X 9^4 = 3^n Find n in terms of x

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

n = x + 8

Step-by-step explanation:

Using the rules of exponents

a^{m} × a^{n} = a^{(m+n)}

(a^m)^{n} = a^{mn}

Then

3^{x} × 9^{4} = 3^{n}

3^{x} ×(3^2)^{4} = 3^{n}

3^{x} × 3^{8} = 3^{n}

3^{x+8} = 3^{n}

Since bases on both sides are equal, both 3, then equate exponents

n = x + 8

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a woman put $580 into a savings account for one year. the rate of interest on the account was 61 1/2%. how much was the interest
kogti [31]

The amount of interest earned from a specific investment can be calculated by multiplying the principal amount with the decimal equivalent of the given percentage or interest rate. That is,

 

<span>   I = P x i</span>

 

Substituting the known values,

<span> I = ($580)(0.615)</span>

<span> I = $356.7</span>

<span>Answer: $356.7</span>

4 0
3 years ago
5x + 2 = 7 <br> X = ?<br> Can you please help me with this
daser333 [38]

Answer:

x=1

Step-by-step explanation:

Move the constant to the right side of the equation and change its sign to the opposite. the constant in this equation is +2. the new equation looks like this: 5x=7-2. After subtracting on the right (7-2) the new equation should be 5x=5. divide both sides of the equation by 5. the answer is x=1

8 0
3 years ago
30/36,= 15/n find n<br> ruuuuuu66w65kkkkkkkwvj64bibkn46
barxatty [35]

Answer:

18

Step-by-step explanation:

30 ÷ 2 =15

36 ÷ 2 = 18

3 0
4 years ago
Which relation is represented by the arrow diagram? A. {(–2, 0), (–1, 0), (0, 6), (2, 1), (3, 2)} B. {(–2, 0), (–1, 0), (0, 6),
givi [52]
-2 -> 0
-1 -> 0
0 -> 6
2 -> 1
3 -> 2

(-2, 0)
(-1, 0)
(0, 6)
(2, 1)
(3, 2)

A
7 0
3 years ago
The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approximate
Mademuasel [1]

Answer:

pH = 3.3

Step-by-step explanation:

pH is given by the formula; pH = –log[H+]

The concentration of hydrogen ions is 5.0 × 10–4 moles per liter.

Therefore;

pH = - log₁₀(5.0 × 10^–4)

    = -( - 3.301)

    = 3.301

Thus;

The approximate pH will be; 3.3

6 0
4 years ago
Read 2 more answers
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