Solve the logarithmic equation and express the solution in exact form (no decimals or rounding) log (3 + x) – log (x – 5) = log 2  Fill-in-the-blank:  x  = [a]

Solve the exponential equation showing all work. 97x + 3 = 27SHOW WORK: This problem requires you to show work of how you solved this equation algebraically. At the end of the test, scan and upload work to the last problem.

Select and Fill-in-the-Blanks: The function defined by f (x) = (x + 3)2 ; x ≥ 0 [verb1] a one-to-one function, while the similar function g(x) = x2 – 9; x ≥ -3 [verb2] a one-to-one function. 1.

Solve the exponential equation showing all work.                         275x – 3 = 9SHOW WORK: This problem requires you to show work of how you solved this equation algebraically. At the end of the test, scan and upload work to the last problem.

Decide whether or not the functions are inverses by finding their composition of each other. SHOW WORK: This problem requires you to show work on your paper. At the end of the test, scan and upload work to the last problem. Please work both: (f ∘ g)(x) and (g ∘ f)(x) and then explain why f(x) and g(x) either are or are not inverses. f(x) and g(x) [a] inverses of each other. f(x) = ; domain [3, ∞)      g(x) = 3 – x2, domain ( -∞, 0]

Select/Fill-in-the-Blank:  A function defined by y = f (x) [verb] a one-to-one function if no horizontal line intersects the graph of f in more than one point.

Write out the first six terms of the sequence defined recursively by a1 = 7, a2 = 7; for n ≥ 3, an = an-1 + an-2

Solve the logarithmic equation and express the solution in exact form (no decimals or rounding). log4(x + 1) + log4(x – 1) = 2SHOW WORK: This problem requires you to show work on your paper. At the end of the test, scan and upload work to the last problem.

Select/Fill-in-the-Blank: Given y = logb x, if 0 < b < 1, then the graph is [a]

Fill-in-the-Blank: The graph of y = logb x passes through the point (1, 0) and the line  [a] is a [b] asymptote.