If the ratio of 7 less than a number and 7 more than the number 2, what is the number?

Step-by-step explanation:

I assume you mean "if the ratio of 7 less than a number and 7 more than the number is 2".

Let x be the number.

Ratio is division.

(x-7)/(x+7)=2

Multiply by (x+7) on each side:

x-7=2(x+7) = 2x+14

Add 7 on each side

x=2x+21

Subtract 2

-x=21

x=-21

answer: the correct answer is -32

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places