In Exercises 43– 48, match the function with its graph from choices A–F. ƒ(x) = log￬2 x

In Exercises 21–42, evaluate each expression without using a calculator. log5 5^7

In Exercises 39–40, graph f and g in the same rectangular coordinate system. Use transformations of the graph of f to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain and range. f(x) = ln x and g(x) = - ln (2x)

In Exercises 21–42, evaluate each expression without using a calculator. 8^(log8 19)

Solve each equation. 3x - 15 = log￬x 1 (x>0, x≠1)

Graph f(x) = (1/2)^x and g(x) = log(1/2) x in the same rectangular coordinate system.

Graph each function. ƒ(x) = log￬10 x

Graph each function. ƒ(x) = log￬6 (x-2)

In Exercises 53-58, begin by graphing f(x) = log₂ x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range. g(x) = log₂ (x + 1)