4. Determine whether each of the functions log(n + 1) and log(n²+ 1) is O(log n). 5. Arrange the functions vn, 1000 log n, n log n, 2n!, 2", 3ª and n/1,000,000 in a list so that each function is big-O of the next function.

Q: Determine the restrictions on the variable for the following expression 3 logg (x+3)-logg (x²+x-6)…

A:

Q: 1. What is each expression written as a single logarithm? a. log, 5x + log, 3x b. 2 log, 6 – log, 9

A: Use log rule

Q: Given that a and b are real and unequal and that logab + logba2 = 3, find a relation between a and b…

A:

Q: A. Expand and condense each logarithmic expression into a single logarithm. 1. log,(7.5) - 2. log,9…

A:

Q: Q4. Write in simpler (1) log() 3/4 form 3 (2) log (1)³

A: Here we have to simply it.

Q: Q10. The solution set of the equation log, 2log,, 2=log4, 2 is

A: Introduction :

Q: 1. a) Write as a single logarithm: log b) log5 (6) + log5 (8) - log5 (16)

A:

Q: Arrange each of the following function in an ordered list such that each is big-O of the next in the…

A:

Q: Express as sums or differences of logarithms. log yz *(Show your usage of the log properties.)

A: We have to the express given logarithm eqution

Q: The graph of the function y = –log(x +2) can be obtained from the base function log(x) via: Select…

A: Given y=-log(x+2), it can be obtained from the base function f(x)=log(x)   so if f(x)=log(x), then…

Q: poin

A: A

Q: 9. Simplify. State any restrictions on variables. log (x²-x-6) - log (2x-6) [K-3]

A:

Q: Use properties of logs to simplify the ex- pression log-(r-√²-14) + log7(x + √²-14). Select all that…

A: use the property of log property .

Q: 2. For each of the following expressions, determine whether the expression is valid or invalid.…

A:

Q: Find / dx. ex+e-X o log(e* – e-*) + C O None o log(2e") + C O log(e* + e¯*)+ C

A: let  I= ∫ex-e-xex+e-xdx

Q: If log,, 2,log,o (2" – 1) and log,o (2* + 3) are in A.P then find thę yalue of x.

A: Topic = Sequence

Q: 8. Write as a single logarithm with and simplify if possible a. log, 5+log,4– log, 20 b) In50–In5

A:

Q: 1. a) Write the following expression as a single logarithm with a coefficient of 1. log(x² +3x +2)–…

A:

Q: = a and log5 2 = b then log5 216 can be expressed as pa + gb. The value of (nearest whole number)…

A:

Q: 1. Complete each of the sentences. No need to show work. a) The inverse of y = log x is b) Rewrite…

A:

Q: Assume a > 0. Which of the following is/are NOT equivalent to the expression log, (20x²)? Olog, (2a)…

A: We have the expression: log3(20x2)