Continuing in the style of in-class exercises, fill in the table for these pairs of functions with "Yes" or "No" in each empty box. Then for each row, justify your choice, preferably by showing mathematical relationships (e.g., transforming one expression into another, or into expressions that are more easily compared). e. f. g. f(n) 2log n √n 8n² g(n) log² n ncos n 4log n O? o? Ω? w? 0?

Fill in the missing values to make the equations true. (a) log, 9 + log, 5 = log, (b) log,- log, 4 = log, 4 (c) 2 log, 3 = log, CCCoala Check esc F3 DDO F4 F5

(c) log, 2* (d) 74log, 5 – 5log, 4

Fill in the missing values to make the equations true. (a) log, 2-log, 9 log, (b) log, + log, 7 = log₂ 14 (c) log, 27 = 3 log, 00 ?

Rewrite the statement log(P) = 6t using exponents instead of logs.

Fill in the missing values to make the equations true. (a) log, 10 + log, 7 = log, X 5 (b) log₂-log, 9 = log₂ (c) log, 32 = 5log, Check

Fill in the missing values to make the equations true. (a) log, 2 - log, 7 = log, (b) log, 2 + log, = log, 10 %3D (c) log, 27 = log, 3 %3D

Fill in the missing values to make the equations true. (a) log, 7- log, 6 = log,| ?: (b) log, 2 + log, = log, 22 (c) - 2 log, 5 = log,I Check alli O esc

Rewrite the logarithmic expression log(A√B) + log(A²) in equivalent logarithmic form. There may be more than one correct answer. A.log(4³) + log(B) B. 3 log (A) + log(B) Oc.log(A) + log(B) + log(A²) D.log(A³√B) E. log(A) — 2log (B) + log(A²) + 2log (A) F. log(A) log(B) 2 G. None of the above

A very aggressive tumor is growing according to the function N(t) = 2¹, where N(t) represents the number of cells at time t (in months). The tumor continues to grow for 40 months, at which time the tumor is diagnosed. Complete parts a through c below. a. How many tumor cells are there at diagnosis? cells (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to four decimal places as needed.) 80 F3 $ F4 C F5 C ♫A MacBook Air F6 & 7 F7 C DII F8 F9 F10 F11 Trash F12