Restate as an equivalent expression that is a single logarithm   1)log7√A − log7B − 4log7A   2)

Q: (b) If 2log 5+log 4 = 2, find a.

A: The given equation is: 2loga5+loga4=2   As we know the logarithmic properties; 1). logaxb=a·logab…

Q: Use the Laws of Logarithms to expand the expression. log (VxV¥ xV y°Vz5

A:

Q: Expand the following logarithm so that it contains no products, quotients, or powers. e2x+3 a. In…

A:

Q: 2. Evaluate, using the laws of logarithms. 2 log, 64 x v64* |+log, 46 43 256

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Use the Laws of Logarithms to combine the expression. 글og(x + 3)3 3)3 + log(x*) – log(x² – x – 12)2

A:

Q: Expand the given logarithm and simplify. Assume when necessary that all quantities represent…

A: The logarithmic expression is

Q: Use the Laws of Logarithms to combine the expression 2 In(2) + 5 In(x) - In(x + 5)

A:

Q: 11. Condense the expression log, (x² – 3x+2) . +2log(x+1).

A: Use base switch rule.

Q: use the laws of logarithms to expand the expression log_4(5xy)

A: Solution is given below:

Q: In(4t*) – In 2 2.

A: This problem can be solved using properties of natural logarithm

Q: Given: log8(5) = b. Express log4(10) in terms of b

A: To simplify the expression log4(10).

Q: Use the Laws of Logarithms to combine the expression. 4 log(x) – 6 log(x + 1)

A:

Q: Which of the following is equivalent to 5(loga+logb)– 2logc- O A logy abc? Vab log- В. OD. ab?

A: 1A.44

Q: Determine whether the following statement is true or false, and explain why.

A: We know, By definition: logax=y,if and only if x=ay Also by logarithmic property:logaan=n…

Q: Use the properties of logarithms to write the expressions in as a single term

A: Some properties of logarithm which you will need :

Q: Write down the formula of the change of base theorem and briefly state what it is used for.   3b)…

A: The change of base theorem:

Q: Expand the given logarithm and simplify. Assume when necessary that all quantities represent…

A: Consider the expression,

Q: The expression 10log +log 3 is equivalent to O r +3 O 73 o log a + log 3 3x

A: Let  y = 10log x + log 3        y = 10log x 10log 3

Q: Use the Laws of Logarithms to combine the expression. 4 log(x) – 8 log(x + 1)

A:

Q: Use the properties of logarithms to write the expressions in Exercis

A: Logarithmic functions and exponential functions are considered as the inverses of each other as one…

Q: Express the following expression as an equivalent expression that is a single logarithm. 2 logbx+7…

A:

Q: e*Vx-5 In 2/3 (7x-e)"

A:

Q: Use the Laws of Logarithms to expand each expression. (a) log,(6x) (b) log,(r'y") ab (c) In

A: Expand the expressions

Q: Evaluate the expression without using a calculator. log 4 (log 6) log 4 (log 66)=

A:

Q: Use the Laws of Logarithms to expand the expression. log6(xvy)

A:

Q: 8. Use the properties of logarithms to expand the expression. (Assume all variables are positive.)…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Use the Laws of Logarithms to expand the expression.

A: Given expression is: logx2+4x2+1x3-72 We have to expand the above expression.

Q: Determine whether the following statement is true or not : Log(-1+431) =2Log(-1+/ãi)

A: Proceed as shown

Q: Rewrite as an equivalent expression involving a single logarithm. 3 log5(x) + log5(x + 1) – 2log5(x…

A:

Q: Use the Laws of Logarithms to expand the expression. In(v In V x8 + 8

A:

Q: 9) Change each logarithmic statement to an equivalent statement involving an exponential. a. log216…

A: Logarithmic     Exponentiallogb x=y           x=bylog N=x           N=10xln N=x…

Q: Use the Change of Base Formula to evaluate log12 27.

A: log1227

Q: Use the Laws of Logarithms to expand the expression. log5(xy)7

A: Given expression log_5(xy)^7 We have to expand the expression using the laws of logarithms.

Q: Written as a single logarithm, 3log,5 +log,6 – 2log,10 –log 25 is 6. O loga 25 3 O loga O loga 10 37…

A:

Q: Use the Laws of Logarithms to expand the expression. log() (601 (e) 24 (b) In x + 2 (c) log x3(x2 +…

A: We have to simplify

Q: Recall the change-of-base formula. log,(x) log,(a) log,(x) =

A: Explanation and solutions is given below....

Q: Mark all statements which are equivalent to 52a 72 log, 72 = 2x log25 72 = x 2 log; 3 + 3 log; 2 =…

A:

Q: 23. Which of the following expressions is equivalent to log(mn)2 ? O 2logm +logn O 2logm +2logn O…

A:

Q: Use the Laws of Logarithms to expand the expression. x2 + 5 log (x² + 8)(x³ – 3)2.

A:

Q: is asked to determine if the following expressions are equivalent to log (ab). Original Expressions…

A: Logarithmic Question

Q: Express as a single logarithm and, if possible, simplify. 1 log b + 3 log c 2 1 log b +3 log c= 2…

A:

Q: Which of the following is equivalent to 2log3(b)+5log3(x)– log3(a)?

A: Given expression is 2log3b+5log3x-log3a Used log rules: 1. logxy=ylogx2. logx+logy=logxy3.…

Q: Evaluate the expression without using a calculator. log 2 ( log 216) log 2 (log 216) %3D

A: Given log2(log216) = ? So, log2(log216) =  log2(log224 )                  (because 24 = 16 )…

Q: The value of 31 log, /4 is O 15.5 O 31 62.0 O 124.0 O 0.0

A:

Q: Use the Laws of Logarithms to expand the expression. ху4 log 25 (a) In (b) х+ 2 log (c) x5(x2 + 4)…

A: Given:

Q: log(16)=4log(2)

A: Given: log(16)=4log(2)

Q: Use the Laws of Logarithms to expand the expression. In(x√7) In(x) + In + In (√²) N X 27

A: Given query is to expand the expression.

Q: Use the Laws of Logarithms to expand the expression. (a) log (xy5 (b) In x + 2 ,3v2 (c) log x3(x2 +…

A: values = ?

Q: What is the 2log, 5+ log; 4 written as a single logarithm? (A) log; 40 (B) log; 29 (C) log; 100 (D)…

A: