What is the solution to the equation 1/6x =2
my answer is x=12

Step-by-step explanation:

The way it is written is a bit ambiguous. If you mean

(1/6)*x = 2 then your answer is correct. Multiply both left and right by 6

6*(1/6)*x = 6*2

x = 12

If however, the question meant

1/(6x) = 2 then that is a different question.

Multiply both sides by 6x

1/(6x) * 6x = 2 * 6x

1 = 12*x                      

Divide by 12

x = 1/12

Change to a decimal

x = 0.08333333

Everything depends on how it is written. Try both if you can.

d is the answer

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