Expand the expression by writing as a sum or difference of logarithms and simplify if possible: log b

Solve the exponential equation using the graphing calculator and approximate the result, correct to three decimal places. 7x + 6 = 9x

Indicate any pair(s) of functions which are inverses of each other.

Simplify the log:  log b 

Indicate any pair(s) of functions which are NOT inverses of each other.

BONUS: Solve the equation algebraically showing all work on your paper and upload at the end on the last problem of the test. Give an exact answer. Also give approximate solutions to 4 decimal places, if necessary. Fill-in-the-blank below. 33x – 3 = 25x – 4                  x= [a] Credit given only if you show work on your own paper and upload on the last problem of the test

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.