12. (a) If log B < 0 what can you say about B? (b) If log B > 0 what can you say about B? (c) Can you evaluate log(A) + log(B) if we know that log(A B) < 0? Explain

Q: 6. Solve log,(1 – 3x) = log,(1 – 5x) – log, 2x (A)

A: Some of the properties of the logarithmic function  If logax=logay then x=y logax+logay=loga(xy)…

Q: (9) You are given two numbers, I and y and told that log(r) = 3.5 and log(y) 5.5. Is it possible to…

A: logmn=logm+logn logab=bloga

Q: (b) For what value of x is log₂ (x+1)-log₂ (x-1)=3?

A:

Q: 1. Use your logarithm rules to evaluate each of the following. Round to 2 decimal places where…

A: As per the guideline, I am supposed to solve only  first three sub-parts of the given problem.

Q: 5. (a) Show that logi() = log M — log N₁ where M, N>0 and b>0 and b ‡ 1. log, M where M>0, b>0, c>0…

A:

Q: Which graph represents ƒ(x) = log₂ x − 1? - f(x) 5 4 3+ 2- 1.

A:

Q: (a) log₂ 11 + log, 4 = log₂ 7 (b) log₂-log,₂3 = log₂ 1 (c) log -2log₂ 25

A:

Q: 9. Clearly explain, using correct mathematical terminology, the difference(s) between the graph of y…

A:

Q: If you calculate 1 log2 (10!) 1 1 1 + +. log, (10!) + log 10 (10!) with a .. log, (10!) log, (10!)…

A: We will use two properties of Logarithm 1. Change of base 2. Addition of logarithm

Q: 4. a) Can you punch the following into your calculator and solve? Why or why not? log,(512) b) Based…

A: Yes, calculation of logarithm in calculator can be performer easily we have to use ln if log is…

Q: (a) If log, 8 = 3, then ar = (b) If log, 256 = 4 then r =

A:

Q: 1. What is log,, 100? What about log,00 10? 2. What is log, 4? What about log, 2? 3. Express b as a…

A: values=?

Q: 4. Find all the values of z for which each equation holds. (a) Log(z – 1) = -i. (b) exp(z+1) =…

A:

Q: One of the following is False: Select one: o Log(z122) = Log(z1) + Log(z2). %3D O dogz = z if z# 0.…

A:

Q: Please help me solve the followng equation

A: The given equation…

Q: 1) (20 pts) If log, = X, express log, in terms of x 2) (40 pts) Simplify and find the value of 1 1 1…

A:

Q: 9.1) How would you compute log(4531.2) using a table with inputs between 1 and 10? Can you explain…

A:

Q: Given that log,(N)=2, then logl- O-1

A: We can use the concept of logarithm in order to get the solution.

Q: 7. If log, w = and log6x + log6 y = 1, then determine the value of log7 (4) + log6 (36x²y²) ?|

A: topic- logarithmic equations logaa=1log(ab)=log(a)+log(b)logab=log(a)=log(b)log(am)=mlog(a)

Q: log3x18 3/ = = √3²) 2 - Blog (y) 1083 = A log3 x + Blog y then a + log₂ (2182) log2 (x) X syntax

A: Given query is to find the value of A and B.

Q: 6. 10logx =

A: Solving the problem by finding the value of the expression.

Q: (1) and (2). Prove, for each pair of expression (f(n), g(n)) below, whether f(n) is 0, 0, or of…

A:

Q: (a) If log, a = p and c=a², find, in terms of p, (i) log, c (ii) log, b (b) Given that log, a = 2…

A: