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3 years ago

Express in exponential form. x = logby

Mathematics

2 answers:

Lunna [17]3 years ago

6 0

X = log (base b) y
The base of the log becomes the base of the exponent.
The x and y switch.
b^x = y

shutvik [7]3 years ago

3 0

Answer:

In exponential form given equation is expressed as $b^x=y$

Step-by-step explanation:

Given equation is $x=log_b\,y$

We use the following logarithmic result,

$a^{log_a\,x}=x$

Consider,

$x=log_b\,y$

Take both to the power of b.

$b^{x}=b^{log_b\,y}$

$b^x=y$

Therefore, In exponential form given equation is expressed as $b^x=y$

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A new automobile cost 11300 which is 100 more than 25 times a certain number what is the number

olga_2 [115]

Answer:

The number is 448.

Step-by-step explanation:

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2 years ago

The sum of 86,68, and 38 is 192. What do you also know about the sum

Andru [333]

The sum of these numbers is an even number and it is prime.
Therefore it is not an odd number and is not a composite number.

8 0

3 years ago

Grace needs $45 to go to Six Flags. She has $13. She earns $8 an hour walking dogs. Which

agasfer [191]

Answer: C. 13 + 8x = 45

Step-by-step explanation:

She already has 13 dollars. This would be the b-value in the equation, thus eliminating options A and B because those two feature 13 as the m value.

She earns $8 per hour. Let x = number of hours walking dogs.

Since 8 is the slope, it would be attached to x, thus either C or D would be the correct response

Since Grace is adding 8 dollars per hour, not subtracting, D is incorrect, leaving C to be the correct answer.

5 0

2 years ago

The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. The profit from selling x shirts

oee [108]

Answer: option A is the correct answer.

Step-by-step explanation:

The expression that relates revenue, profit and cost is

Profit = Revenue - Cost

The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. Therefore,

p(x) = r(x) - c(x)

p(x) = 11x - (6x + 20)

By expanding the bracket, the minus sign will alter each term in the bracket. Therefore,

p(x) = 11x - 6x - 20

p(x) = 5x - 20

8 0

3 years ago

Rick is buying a small sailboat for $3,000 with a down payment of $1,000. The bank approved a simple interest flat rate loan for

Anni [7]

Option C

Monthly loan payment is $ 93.33

Solution:

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

Hence net principal is given as:

net principal = p = $ 3000 - $ 1000 = $ 2000

p = $ 2000

The bank approved a simple interest flat rate loan for 2 years at 6% APR

Hence number of years = 2 years

Rate of interest = 6 %

Let us first calculate the simple interest

The formula for simple interest is given as:

$\text{ simple interest } = \frac{ p \times n \times r}{100}$

Substituting the given values,

$\text{ simple interest } = \frac{ 2000 \times 2 \times 6}{100}\\\\\text{ simple interest } = 20 \times 2 \times 6 = 240$

Thus simple interest = $ 240

Total amount payable = principal + simple interest

Total amount payable = $ 2000 + $ 240

Total amount payable = $ 2240

How much are the monthly loan payments?

Here number of years = 2 years

To calculate the monthly payment divide the total amount payable by 24 (since 2 year = 24 months )

$\text{ Monthly loan payment } = \text{ Total amount payable } \div 24$

$\text{ Monthly loan payment } = \frac{2240}{24} = 93.33$

Thus monthly loan payment is $ 93.33 Option C is correct

4 0

2 years ago