How many counting numbers less than 500 are square numbers?

We have two methods to do this

One is that we can start writing the squares of numbers and once we reach a number whose square is greater than 500 , we stop on one number less,

But this may take time ,

instead

What we can do is that

We know that 2^2 = 4

So simply 20^2 = 400

and 25^2 = 625

Now it means our answer lies somewhere in between 20 and 25 , Let's check the square of 23

23^2 = 529

and 22^2 = 484

So that's it

we get our answer

1 to 22

It means 22 counting numbers have less than 500 as there squares

to have more of what you want like money

step-by-step explanation:

save it by not spending on unnecessary stuff and have more

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