Transformations and Inverse of Log and Exp Functions

What is the inverse function of $$g(x) = 5^{(x-3)} - 2$$ ?

Which equation matches the graph of $$f(x) = \text{log}_2(x)$$ ?

Describe the transformation of $$f(x) = \text{log}_2(x - 2)$$ from the parent function $$g(x) = \text{log}_2(x)$$ .

What is the inverse function of $$2\text{log}_5(x - 3)$$ ?

Describe the transformation of $$f(x) = \text{log}_2(x + 3)$$ from the parent function $$g(x) = \text{log}_2(x)$$ .

What is the definition of a logarithm?

What is the base of the logarithm in $$\text{log}_5(x)$$ ?

What is the relationship between exponential and logarithmic functions?

What is the parent function of logarithmic functions?

What does the transformation 'Translate up 2' mean for the function $$f(x) = \text{log}_2(x)$$ ?