Express log 45 in terms of A, B, C, where A = log 2, B = log 3, and C = log 7. 2A B 2 A+ 2B 1 A+2B+1 2A + B-2

Q: Express using a single log            2Log a2 – Log b – 2 Log a2b + 2Log b

A:

Q: 6. If log3 = s and log2 = t, rewrite the expression log72 in terms of s and t.

A:

Q: Show that -b + VE - 4ac log -b - VE - 4ac + log 2a 2a = log e - log a

A: We have to show that,  log-b+b2-4ac2a+log-b-b2-4ac2a=logc-loga

Q: If m = log2n and 2m + 1 = log2 16n, algebraically determine the values of m and n.

A:

Q: Suppose that In 2=a andIn3=b. Use properties of logarithms to write each logarithm in terms of a and…

A:

Q: 7. The expression 4 log x -- log y + 3 log z can be rewritten equivalently as (x*z' (3) log 2y (1)…

A:

Q: Condense to a single logarithm. 3 - log 8 (m) – 2log 8 (4n) – 31og 8 (5k) 5 log (4n)² (Sk)³ log s…

A: Given problem:- (3/5)log8(m)-2log8(4n)-3log8(5k) To find:- Condense to a single logarithm

Q: 2) When written as a single logarithm, the expression log16x^8-log2x-log4x^2 options: A) log4x^5 B)…

A:

Q: 2) Given that log, 5 = n find the value of 27"

A: we use logarithmic properties to solve Question number 2

Q: Solve for x: log3x + log3 (x-8) = 2 + 8log51 and 2x - 15 is a.) -4  b.) 3  c.) 2  d.) 5  e.) 8

A: To solve

Q: he expression logx (ab) is equal to   1. logx (a+B0 2. (logxa) (LogxB) 3. log (ax+bx) 4. logx a…

A:

Q: Expand the following: a) log 3x2/ y4 b) log5 x5 (square root of y)/ z3

A:

Q: Which of the following equals 2 log(9) + 2 log(x)? O log (9'a) log(2 9 2a) O log (2 -9 a2) 2.9 log…

A:

Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: topic - logarithmic

Q: Suppose log 2 = a, log 3 = b, and log 5 = c Express log (18) in terms of a, b, and c. a^2 + a+c O…

A:

Q: 1. Express as a single logarithms and if possible simplify. loga 75 + loga 2 ½ log n+ 3 log m

A: We can solve the two subparts as below.

Q: 7. Verify that each side of the equation reduces to the same answer. Show your work. log 10° -…

A: given,        log106.1084=log106+4.log108

Q: Express using a single log2Log a2 – Log b – 2 Log a2b + 2Log b

A: The given expression is as follows:2Log a2 – Log b – 2 Log a2b + 2Log b

Q: 4. Write the expression as a single logarithm. 2Log[- 2Lo 1+Log[x² + 2x - 63- Log- x2-2x 35 1 (x-7)2…

A:

Q: (b).Solve for x: if log, x+3 log, 3=4 27**2 -6x3*3 3" x9**2 3a+3 (c). Show that %3D

A: Solution is below with full explanation.

Q: Given that y = log, 11 and 64 %3D x = log 2, what is logp expressed in terms of x and y? a. 2х-бу b.…

A: We are given that y=logb11 and x=logb2. We need to find what is logb64121 in terms of x and y. Now,…

Q: Practice question 9

A: The given logarithmic expression is log a + log 1–2 log b.Simplify the given expression as follows,

Q: Let log 3 = J and log 7=Z. Write the expression in terms of J and/or Z. log 59 log +9=

A:

Q: Match each exponential equation with its log form. 3 = 9 a = c 167 = 4 2 = 123456789 : log (9) 2 :…

A:

Q: Use the definition of a logarithm to find the exact solution for 4 log (2n) - 7= -11

A:

Q: Let log +8 = D and log 11 = K. Write the expression in terms of D and/or K. log 564 log 564 = ...

A:

Q: 1. x=log1031,500, Select all that apply and justify your selection. Which are true of а. х4 d. x5

A:

Q: Express 273 = 3 in logarithmic form. log27 3 = 3 O log, 27 = 3 O log: 3 = 27 O log3 3 = 27

A: In this question we have to find the logarithmic form of the equation given by using the logarithmic…

Q: Show that loga ( 1/N) = - loga N, where a and N are positive real numbers and a ≠ 1.

A: To Show: loga1N=-logaN, where a and N are positive real number and a≠1. Concept: i.…

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)

Q: - Write an expression equal to log; (4) + log,(5)| using at most one lo

A: Given expression is log3(4) + log9(5)

Q: Given log6=a and log14=b, determine the following expression in terms of a and b log49/9 +…

A: We have log 6 = a or log(2*3) = a or log2 + log3 = a   And log 14 = b log(7*2) = b log 7 + log 2 = b

Q: 1. Write the logarithm log [2x(x²+3)*| as a sum or difference of logarithms. Expand and V4-3x…

A:

Q: 3. Use the properties of logarithms to expand each expression. 7k b. log ух c. log 4p a. log(3x2) d.…

A: topic - logarithmic

Q: B. Expand the expression using the properties of logarithm. 1. log63x 2. log2 ) 3. log10xy? C. Solve…

A: (B) Use the properties of the log to expand the given expressions. 1…

Q: Which of the following would is a Step in solving for x ? %3D log2 (8x) + log, (3x- 5) = 3 O log,…

A: We have to find the step which is involving in solving for x: log28x+log23x-5=3 We know the product…

Q: Given that log 30.933, log 4 1.177, and log,71.653, find log b 4 log bb (Type an integer or a…

A: Given: logb3≈0.933, logb 4≈1.177, logb 7≈1.653

Q: If log2(3r + 5) = 5, then z =

A: We have to find the value of x log2(3x + 5) = 5 . So , By logarithmic properties. loga(b) = C Means…

Q: Show that, log(-1+i)² # 2log(-1+i).

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 8. a. Find x if log2x = -2 = -2 b. Find b if log,81 = 4

A: 8. We need to solve the following equations (a) log2x =-2 (b) logb81 = 4

Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

A:

Q: 2. Rewrite in terms of a single log (condense): (15log. (x) + 10log. (v)]– 7[3lo9. (x) + loga (v)] 5

A:

Q: Express p in term of q if: log,p -log,q =1

A: We have to express p in terms of q.

Q: = Find: logy (yo)-2 %3D اختراحد الخيارات A B 2- .C .D undefined

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given that log9 b-2 = log3 a, express b in terms of a

A:

Q: Show that 2 + 11n² log,(n³) – 7 = 0(n³)

A:

Q: 1 Rewrite log x 2 as a single logarithm with no exponents.

A: Rewrite log x12 as a single logarthim

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: