Question

Part 1: Given log a b = x, replace the variables a and b with integers of your choice. (2 points)

Part 2: Show your work to solve the logarithm you created using the change of base formula. (4 points)

Part 3: Provide the solution. (2 points)

Answer 1

1. If a = 3, and b = 9, then \[\log_a(b) = x\] becomes: \[\log_3(9)= x\]
2. If you use the change of base formula, then \[\log_3(9)= x\] becomes \[3^x = 9\]
3. Since \[3^2 = 9\] x = 2

Answer 2

But is that the change of base formula? Dont you have to make it into a fraction?

Answer 3

1. If a = 3, b = 9, then
\[\log_3(9) = x\]

2. Using change of base formula:

\[\log_3(9) = x\] becomes:
\[\frac{\log 9}{\log 3} = x\]

3. Using your calculator, you'll get

x = 2

Answer 4

I consider either one of them the change of base formula.

Answer 5

Thank You SO MUCH!!!! I owe you:)

Answer 6

Now I just showed you two ways of doing the same problem. You should have no trouble with doing any similar problems.

Answer 7

:)