(a) Combine using laws of logarithms and evaluate log2 25 – log2 5 – log2 40

Q: In(40) log2 (25) = - In(2) A) log5(8). B) In(8). C) 3. D) 2. E) log2(5). A) B) c) D) E)

A: We will solve the problem

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

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

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Q: 2. Evaluate, using the laws of logarithms. 2 43 log4 64 x V64* 46 256 +log,

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

A: The given logarithmic equation is:  log z5xy3

Q: 16 Given log 4 1.262 and log, 7 1.771. what is the value of log3 () Enter your answer in the box. 16…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 5. Use the Laws of Logarithms to expand the expression. x + 2 3 (a) log (b) In y (c) log. x(x² + 4)

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Q: 12.) Use the laws of logarithms to combine: 2 log x + 1 log(x² + 1)

A: We have to use the laws of logarithms for the given equation.…

Q: 3 log(x) − 1/5 log(x2 + 1) + 3 log(x − 1)     b) 1/2 log(x + 2)2 + 1/3 log(x6) − log(x2 − 2x − 8)3

A: a) Given data:     The given expression is: 3 log(x)-1/5 log(x2+1)+3 log(x-1). STEP-1 The given…

Q: Use the Laws of Logarithms to combine the expression into a single logarithm.

A: We have to use the laws of logarithms to combine the expression into a single logarithm: a loga+2…

Q: (a) Use the Laws of Logarithms to expand the expression. log3(2xy)   (b) Use the Laws of Logarithms…

A: To expand the following logarithms by using laws of logarithm. Some laws of logarithm are:…

Q: 5) log3 x + log4 x = 4

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Q: The logarithm of a quotient of two numbers is the same as the --Select--- of the logarithms of these…

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Q: 8) Use the properties of logarithms to expand or condense the logarithmic expression as much as…

A: To find:- a) Expand log(xy5/z4 )  b) condense 5log3x-6log3z-(1/3) log3t

Q: 2 5 Express log b 5.8 m°b in terms of sums and differences of logarithms.

A: The given expression is logbp2q5m5b8.

Q: 3 log z – 4 log(z² + 1) + 4 log(z – 1) as a single logarithm log A. Then the function dote: "log" is…

A: We have to form in a single logarithms

Q: log4 1

A:

Q: Solve the equation without using a calculator.

A: We have to solve the equation: a  log2116b  logπ1c  lned  6log64 We know the properties of…

Q: For log, 2, (a) Estimate the value of the logarithm between two consecutive integers. For examp (b)…

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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: log a10 – log x6 Condense the following logarithm 10 log x - 6 log a ° log z16 O log a10 - o log x3…

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Q: 101. e3 = 10 102. e-2r = 103. e2r+5 = 8 105. log7(x + 4) = 2 106. log5 (x + x + 4) = 2 107. log2 8*…

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Q: A. log, 81 B. log1o100 C. log,8 D. logs 25 E. log232 1 4. Explain 2. A log-7 B. log,9 C log11 D.…

A: 1. A.)    log_3 (81)=log_3 (3^4)=4log_3 (3)=4 B.) log_10 (100)=log_10 (10^2)=2log_10 (10)=2 C.)…

Q: For each exercise, identify the error(s) in planning the solution or solving the problem. Th en…

A: The logarithmic form of an exponential form is given as follows.

Q: 3. (a) 5 = 125, so log (b) log, 25 = 2, so

A: a. 53=125 b. log525=2

Q: 15) Find the log3(5). Use the formula: log.(x) = Log,o(x) log1o(a)

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Q: 18) Use the properties of logarithms to rewrite as the logarithm of a single quantity. a. 4 In a +3…

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Q: 22.Using properties of logarithms, log (ab^5 ) can be written as ? a. Sloga + 5logb b. 5loga + logb…

A: 22. We need to simplify the following logarithmic expression logab5

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

A: properties of logarithms are logcab=logca-logcb logcab=logca+logcb logaxb=b·logax

Q: 18. Supposed logab + logac + logbc = 5, what is the value of abc? C) V1000 D) 5 A) V100000 B) 50000

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

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Q: Example 9: Solve the following for the exact value of x a) log,xlog, 27+2 log, 2-log, 3 b) logx+log…

A: Refer to the question we need to find the value of x of the provided logarithm equations as,

Q: B- log10 (3x – 7) + log10(3x + 1) = 1+ log10 2

A: Take both as to the 10th power

Q: 17. Given y = -log3 (81(x - 2)²) a) Rewrite using the laws of logarithms.

A: The objective of the question is rewrite the logarithmic function.

Q: d the logarithm fully using the properties of logs. Exp of log a, log y, and log z. log Swer: Submit…

A: topic - logarithmic expressions

Q: (a) If log4 x = 5, then x = (b) If log, x = 4, then x = Submit Question

A: Let's find.

Q: x²-9 4. Expand the logarithmic expression log, x²-6x+8

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Q: 9) Write log 40-log 10- log 2 as a single logarithm a) log 2 b) log 8 m c) log 20 d) log 32

A: log(m) - log(n) = log(m/n)

Q: 6. Choose the best answer. If log, 5 = 0.83, then log; 7 -1.20 1.20 -0.83 O1.162 O 0.83

A: We have to find the value

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

A:

Q: logb 1 =________

A: A logarithm is an exponent.  A logarithm is an exponent which indicates to what power a base must be…

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

A: We use logarithmic properties

Q: (ii) log4

A: According to power rule of logarithm, log ab=b log a Change base rule of logarithm is logab=log…

Q: 16 Rewrite the exponential equation into its corresponding logarithmic equation. 12 = 144 F log,,…

A: Answer is mentioned below

Q: 3 Rewrite log(3) + log(2) in the form log(e). A log(1) B log(5) log(6) D log(8) E log(9)

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Q: My question is for the part circled in green only. The question is why does logb(b) =1

A: To prove: logbb=1

Q: In expanding the log310a2, which is NOT a correct step? A. log3 10 + log3 a Product Rule В. log3 10+…

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Q: 2. Use the properties of logarithms to condense the expressions as a single logarithm. 4. log a – 3…

A: We have to solve given logarithmic expression.

Q: 3. Evaluate. a) log₂ 16+ log464 b) log3(2x + 1) = 2

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