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yan [13]
3 years ago
6

Write the log equation as an exponential equation. You do not need to solve for x. \log_9\left(2\right)=2x-1 log 9 ​ (2)=2x−1

Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

9^{2x-1} = 2\\

Step-by-step explanation:

According to the law of logarithm;

If \ log_ab = x\\a^x = b

Given

\log_9\left(2\right)=2x-1

Comparing with the original expression;

a = 9, b = 2 and c = 2x - 1

Substitute into the result indicinal expression;

9^{2x-1} = 2\\

This gives the required exponential equation

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a television on sale for 1/4 off original price. Original price is 120 more then sale price. What is original price of tv
agasfer [191]

Answer:

Original Price = 160

Sale Price =40

Step-by-step explanation:

Let Original Price be x and Sale Price be y

y=1/4 of x   (Equation 1)

x=120+y     (Equation 2)

Put value of x from equation 2 in equation 1

y= (1/4)*(120+y)

y=120/4 + y/4

y-y/4=30

3y/4=30

y=30*4/3

y=40

Put value of y in Equation 2

x=120+40

x=160

4 0
3 years ago
A and b are positive integers. Find <img src="https://tex.z-dn.net/?f=-2a%2B3b" id="TexFormula1" title="-2a+3b" alt="-2a+3b" ali
lord [1]

A could be 2 while B could be 3, so -2a+3b turns into -4+9, which equals 5.

From what I know you can't really solve a a single equation with two-variables so it's just a matter of trial and error.

Just try plugging in a small number like 2 for a just to try it and you get 8b^2=72.

Divide everything by 8 to isolate b and you get that b^2=9.

Square root everything and you'll find that b=3. This is just one possible combination, I'm sure there are many more but this is obviously the one that was intended to be found.

Now that we know that a=2 and b=3 just plug them into the equation.

-2(2)+3(3)=?

-4+9=?

5

Sorry about having to use this ^ symbol, the equation maker is not working.

7 0
3 years ago
10) what is the area ratio<br> 11) what is the area of RST <br> HELP ASAP EMERGENCY
dlinn [17]

9514 1404 393

Answer:

  10)  C 4/9

  11)  B 24

Step-by-step explanation:

10) The area ratio is the square of the ratio of side lengths. The ratio of side lengths is ...

  RS/LM = 6/9 = 2/3

Then the area ratio is ...

  (2/3)² = 4/9

__

11) Using the result of question 10, the area of ∆RST is ...

  (4/9)(54 in²) = 24 in²

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2 years ago
The first three terms of a sequence are given. 311,305,299 find the 32nd term
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