A store sells T-Shirts in 6 colors, 4 designs, and 3 sizes. Find the number of different T-shirts available.

For this kind of problem, you want to multiply each of the numbers of options together. You'd say, there's 6 colors for each of 4 designs, which in turn are each in 3 different sizes. That's 6 * 4 * 3, which is 72 different T-shirts.

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