(a) log, 7 – log, 4 = log, I (b) log; 7 + log,1 = log, 14 1 (c) log, -2log,I 25 ||

Q: Solve for x.

A: Given : The equation is , a) log3 x + log3 (x - 2 ) = 1  b) log10 ( x + 3 ) - log10 x = 1

Q: Write as a single logarithm:

A: Given:           3logbx−2logb5−13logby

Q: 11. Can the value of log, (-4) be found? What about the value of log, 0? Why or why not? What does…

A: Can the value of log2-4 be found? "No" Because we cannot able to get the value of  2x=-4 for all…

Q: (e) log, (x - 1) + log, 3 = log a

A:

Q: 16 What is the fully expanded form of log;- .? (A) 2log, 4 -log , 5 (B) 2log;4+-log ; 5 (C) 2log , 4…

A:

Q: approximate the logarithm using the properties of logarithms, given log, 2 = 0.3562, log, 3 =…

A:

Q: ab³/2 (7) If x = then log(x) = c2d' %3D (A) log(a) + log(b) - 2log(c) - log(d) (B) log(a) + log(b) -…

A: Given problem:-

Q: 2) log, (x - 4) – log , 5 = 2

A:

Q: b. log, x-log, (x+42) = 0

A:

Q: log, x+10 log, +1=0

A:

Q: log,,3 + log, (4x + 1) = log,o (x +1) +1

A:

Q: i) log,(r + 3) + log2(x + 5) = 3

A: We use the identity loga(b)=c so that a^c=b. See 2nd step.

Q: 23. Solve for x: a) log, (x- 5) + log,(x - 2) = 2 b) 5*+2 - --2500

A:

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

A:

Q: 1 14) log, 3 + 2 log, 25-log, r 15) log x + log 5 = 2

A:

Q: tan -1(i - 3) = Log – i0 + ¿2KT - O 2 3 + i0 – i2kTt Log O 2 - Log + i0 + i2kT 2. Log i-1+i0+i2k T…

A:

Q: tan -1 (i – 3) = Log O -2 i-11 + i8 + i2kπ Log i-1|+i0+ i2kㅠ Log i-11-18+i2kㅠ | O 2 3 + 18-12kㅠ Log…

A:

Q: 2 log, u - 3 log, 4 log, V -

A:

Q: log, 12 log, 11 log, 5 log, 27) 2 2 2 2 A) log, V4620 s". 12 C) log, B) log, (12 - s' . 11') D) log,…

A:

Q: Question 2:- Applying the properties of logarithms to simplify expressions a. logs 8 + logs 1 b.…

A: This can be done as follows:

Q: g) log, (30) - log.(6) h) 2 log (10)- log, (4) i) log, a

A: we have to find the following

Q: 7. If log,w= and log; x+logs y=1 , then what is the value of 13 w3D 7 log, +log, 36x y ?

A:

Q: Combine into a single logarithm.

A: The three logarithmic properties to be used are: a) clogba=logbac b) logba-logbd=logba/d c)…

Q: Use log, 2 0.335, log, 3 0.542, and log, 5 = 0.778 to approximate the value of the given logarithm…

A:

Q: 77 Given loga 3 = 5, loga 7 = -2, and log, 11 = 4, find loga 3a2

A: Given, loga3=5, loga7=-2 and loga11=4

Q: Solve the equation.

A: Given, 3log2x=2log23

Q: 3. log, 75 = log2 3 + log, (2y -1) %3D

A:

Q: 41. (a) log,(¿) (b) log10 x = –3 = X 42. (a) log, 1000 = 3 (b) log, 25 = 2 43. (a) log, 16 = 4 (b)…

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: log a = -4 log b = 6 log c = -1 %3D log a7

A:

Q: (b) Suppose log,(5) = c and log,(2) log, (50) in terms of c and d, but not involving logarithms. d.…

A: objective is to find the expression.

Q: 53. log, 3 + log, x = log, 5 + log2(x – 2)

A: Explained below

Q: 5. If log, x = 0.3 and loga Y = 1.24, then the value of log, x²y? = %3D

A:

Q: Write log2(9/5)i n terms of log2 3 and log2 5

A: We first use the division property of logarithm

Q: log, (x + 1) = 2 + log, (3x – 2)

A: We have to solve the equation: log4x+1=2+log43x-2 We know the properties of logarithm,…

Q: Solve the equation.

A: We have to solve the equation: log6x+5+log6x=2 We know the logarithmic property,…

Q: log(2,2,) =log(z,) – log(2,) 1 2

A:

Q: True or False? explain:  log 1/3 = -log3 log (2/5)= (log2)/(log 3) log(.01)=-2

A: We need to state if the following statements are true or false: log 1/3 = -log3 log (2/5)=…

Q: log, (log, (x)) = k

A:

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

A: Using Rule's of Logarithm

Q: 4. I. The simplified form of 4 log, " +5 log2 -3 log, z is log2 II. The expanded form of log, p is 2…

A: There are four following math lagarithm formulas

Q: 3. Solve for x: log, (x+6)- log,(x-2) = 2 4. Solve for x: log, (x-5)+log,(x+1) = 4

A:

Q: log 3i = o log,3 - + i2k Tt o log 3 + i + i2k Tt o log 3 + i - i2kT o log 3 + -

A: we have to find the value of .

Q: logix +log, (x- 12)=3

A:

Q: 1. y = -3+log, r 2. y = log, (r – 2) 3. y = - log, (æ + 3) 4. y = 2 + log,

A: we have to match

Q: 89+3 12 89+3 12 ) log( ) = log( log( log( ----- L-----

A: To solve the given expression

Q: log, (r 26) – 6) 0, 30) log, (r+ 2)<0.

A: to solve following inequality26) log3x2-6&lt;128) log5log2x&gt;030) logxx+2&lt;0

Q: log, 5 z 0.699 and log, 2x 0.301. Use one or both of these values to evaluate loga 125.

A:

Q: 5 32 75 log- 16 -2 log-+log- 9. 243

A: