I need help with these questions

Question

For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Part A: What keystrokes are used on a graphing calculator to approximate x=log250/9log4?

Part B: The exact solution to the equation 4^9x = 250 is x=log250/9log4. Approximate the solution, rounding to the nearest hundredth if necessary.

Part C: What is the value obtained when the answer from Part B is verified in the equation? Determine whether the approximate value of x from Part B is a reasonable approximation for the solution to the equation 4^9x = 250 .

Answer 1

9x = 3.98289

x =3.98289/9= 0.4437

x=0.44 rounded to nearest hundredth

lpg250/9log4 = 2,4/5.4 = 0.44

4 to what power is 250? 4^4 = 16^2 = 256, so 9x is slightly less than 4, or 3.98289

x =(1/9) of 3.98289. 4/9 = 0.44

4^9(.44) = 4^3.96 is slightly smaller than 250

or ln250/9ln4 = 5.5/12.5 = 0.44

You can us any base log, natural, common, base e, base 10 or any base

4^9(.44) = 4^3.96 =about 242 = slightly smaller than 250, but it's a close approximation