Square roots • square roots are the of perfect squares. • a square root of a number is one of its two equal factors. (remember • 4 · 4 = 16, so 4 is the of 16. 16 = 4 the symbol ,called a is used to show a number’s square root. examples: √4 = 2 because √9 = 3 because √16 = 4 because √25 = 5 because √100 = 10 × = × = × = × = × = find each square root. times itself gives you 81? (? · ? = 81) 81 196 49 225 121 16 4 36 64

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

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