2. Expand each logarithm. (Non-calculator problem.) a. log, 7(2x-3) b. log a'b c. log, 8V3a d. log,(2x) e. log, 2x? f. log10m n

Q: If 4 log x- loga y = log 13 then %3D 10 A x'y=13. B € - A 4x =13y. x' =13y. D 4 =13y.

A: To convert the logarithmic equation into an algebraic equation, we have to use the properties of the…

Q: Find the largest value of x that satisfies: log, (2) – log,(æ + 1) = 1 2 Calculator

A: We have to find x

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

A:

Q: given log10 x = 2 and log10 y = -1. show that xy-100y2 = 9

A:

Q: If loga = logx – 2(logy + logz), then a is equal to O Ax-y²z? В. Х v²z? O C.x-2y+2z OD. X 2y +2z

A: given,

Q: Find the value of Log(-1+i) In/2 – in/3 lny2+ ίπ/4 in5-ίπ/6 ly2 +3ίπ/4

A: Solution:

Q: d) log, V5 e) log, () f) log, a

A:

Q: (a) y = 2** (b) y = log,(x* + 2x – 3)

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: 1. Which of the following is equivalent to y= log, x ? (1) y = x' (3) x= 7" (2) x = y' (4) y = x%

A:

Q: y = a log, (x - h)+k a = 1 -10 h = 1 -10 b = 2 -10 k = 1 -10

A:

Q: Express the given quantity as a single logarithm 1/7 ln(x + 2)7+1/2[ln(x)-ln(x2+3x+2)2]

A: Formula used:

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: Given that log, x = a log, y = b ,and log, z = c which of the following is equal to 2y log2 3b+ a -…

A:

Q: 2y3 a, log2 y = b, and log, z= c, which of the following is equal to log, Given that log, x = O 2b –…

A:

Q: log x – 3 log y +;log x – 2 log w

A: Given,log x-3 log y+12log x-2 log w

Q: Hw/ Selve: O log(x)+log (a-) = log (8K-1a)-legL2) Anyx,3 An s/K=3

A: Here we have to solve ,  a) log(x)+log(x-1)=log(8x-12)-log(2)b) 2ln(x)=ln(3)+ln(6-x)

Q: Suppose log. (x) 2 and log, (y) = 5. Find the following: %3| a) log. (r?y) b) log. (y³) c) loga

A: *concept:- use "log" properties.

Q: If logy =c- log,x, where y> 0 andx > 0, then y is equal to A. c-X В. 3 D. C.

A: To solve the given logarithm

Q: 5 If logioC = y, then A C = 10y B C= 10 C = y10 10 D

A: we have to find C from the given equation

Q: Which of the following shows how long an investment of £1000 would take to grow to £4000 when…

A:

Q: Find :the solution of logarithmic and exp 1) 4* = 128 %3D 1 2) 5* = %3D 125 3) 43*+5 = 16 %3D 4)…

A:

Q: 4 log, (x) – log, (x² – 2x) Condense

A:

Q: 2-Solve the following logarithmic equations a) Log, 2 – log 4 x +7/6=0 b) 2 + 5(3*) =3(32*)

A: logx2-log4x+76=0log2logx-log4x+76=01logxlog2-log4x+76=012logx2log2-log4x+76=012logxlog22-log4x+76=01…

Q: Practice question 9

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

Q: Simplify each of the following logarithms wit 1.2.1 log2 8 + log2 16 – 5 log3 3 1 -4 log3 3 1.2.2…

A:

Q: 13 Which of the following is equivalent to x - 3 = 2? A log, (x - 2) = 2 B log, (x + 3) = 2 C log,…

A: The given equation is: x-3=22

Q: C. log, b 1 log, a D. If 2ª = then x+y = 0 1 24

A:

Q: Which of the following statements is not correct? A. log10 10 = 1 B. log (2 + 3) = log (2 x…

A: GivenAlog10 10 = 1B.log (2 + 3) = log (2 x 3)C.log10 1 = 0D.log (1 + 2 + 3) = log 1 + log 2 + log 3

Q: log a (m) =10 , log a (n) = 20 find log a (mn^2)

A:

Q: The solution of the logarithmic equation log z + log(x + 5) = log 24 is 3. 11 O16

A:

Q: (a) log(x) + log(x +2) log(x + 6) %3D (b) log2 w + log2(w- 4) = 5

A:

Q: 3. If r= , then logr can be represented by AB 1) log A+ log B- log C 2) 3(logA? + log B - log C) 3)…

A:

Q: If log35 = 3y, log34 = 2x, and log,m? = 6, then log3(10C %3D %3D A. 3y+2x+ 6 В. бу + 2х + 12 С. бу +…

A:

Q: 1 log 3 27 |

A: To find : logx127=-34

Q: Given that log a 2, logy 3 and log z = 4 find log () %3D %3D O 13 8. 7 O11

A: given: we have to find the value of .

Q: log (x³y¹z) = b

A:

Q: Given that log5(2)= 2.32 and log5(3)= 1.46 What is log5(4/3)?

A:

Q: log, x + log, y+ 6log, -

A: Using Rule's of Logarithm

Q: Question c

A:

Q: question b

A:

Q: If log109 = 0.95 and log102 = 0.30 (accurate to two decimal places),find the following A to E. a.…

A: log am=m log alog(m)+log(n)=log(mn)log(m)-log(n)=logmnlogaa=1

Q: 4. Solve the following logarithmic equation: log; (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: Here, Z=9k=5

Q: (a) log3(5) = x (b) log5(7y) = 3

A:

Q: 1. Which of the following is equivalent to 3*-81? (A) log4 =3 (B) log,81 = 4 (C) log,81 = 3 (D)…

A: Note:-  We will answer the first question since we answer only one question at a time. Please submit…

Q: Graph y = log a 2 as a function of a over the interval 0<a<= 4.

A: Given that 0<a≤4 Rewrite the function as:

Q: given log y+3 log(x+2): REWRITE as a single log

A:

Q: Rewrite the expression as the logarithm of a single quantity. 18) 6 log, t- log b S 18) 19) 3 log x…

A: As per our guidelines we are supposed to answer only first question Kindly repost other as the next…

Q: Given log b 2 equals A and Log b 3 equals B, what is the value of log b 4/3

A: It is given that logb2 = A and logb3 = B.Obtain the value of logb (4/3) as follows.