Does the value given for x make the equation true or false? 4x – 5 = 11; x=4

True

Step-by-step explanation:

×=4

4(4)-5=11

16-5=11

11=11

4x-5= 11

4(4)-5= 11

do the bracket first

4(4)= 16

16-5= 11

true

-2 is the right

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