Simplify log, (x+ 4) – log, (a- 5) O log, 9 O log, (2x - 1) z+ 4 log4 I- 5 log, (2-z- 20) 2--20)

Q: If log,3 =z, then log,81 expressed in terms of æ is

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Q: 6. Solve log,(1 – 3x) = log,(1 – 5x) – log, 2x (A)

A: Some of the properties of the logarithmic function  If logax=logay then x=y logax+logay=loga(xy)…

Q: Explain why. a) log(100000) = 5 b) log,( – 16) = undefined

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Q: Express the ratios in Exercises 69 and 70 as ratios of natural logarithmsand simplify.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: (ii) log,(x+3)=1–log,(x-1)

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Q: Find so log,12-3-log,61-2) 2

A: We are given: 12log2t2 = 3 - log2(3t-2) We need to solve for 't'. This can be done as follows:

Q: Log ax5)-Log (7x+2)+lo9_ (8x+3)=3 3. 3

A: The objective of the question is evaluate the equation.

Q: 4. Use the properties of logarithms to expand the expression as a sum, differences, and/or cons…

A: The given expression is logbx5b6y7z164 We expand the expression as sum , difference of logarithm…

Q: Solve for log2 (4 – x)- log2(3+ x) = log, 6. |

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: The Logarithms Of The Quotient And The Product Of Two Numbers Are 0.352182518 And 1.556302501,…

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Q: If log, (3z + 6) = 3, then z = You may enter the exact value or round to 4 decimal places.

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Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: We need to find log value.

Q: 1. What is log,, 100? What about log,00 10? 2. What is log, 4? What about log, 2? 3. Express b as a…

A: values=?

Q: What is the real part of Log(-5 + 51)²? What is the value of Log(-5+ 54)? – 2Log(-5+54)?

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Q: ( 3vx log9 x²+9,

A: The expression is  log9 3xx2+9

Q: Use rules of logs to write the log as a single quantity 2log3x - log34     ln x + ln(x+1)

A: GIvenA)2log3x-log34 B) ln x+ ln (x+1)we have to use rules of log to write log as single quantity

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

A: The logarithm of a quotient of two numbers is the same as the Difference of the logarithms of these…

Q: Solve the equation.

A: Given that, log2x+3=log2x-3+log39+4log43

Q: log, (5x + 8) = log,(9x) 5z +8 =

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

A: log32xy

Q: Logx=log12-2log2+log3

A:

Q: 2 log, 5 = log,

A: Given expression to be evaluated is :  We will make use of following rule of logarithm to evaluate…

Q: Use the laws of logarithms to expand each expression. (a) log10(x*y³z) 4 log (x) + 3 log(y) + log(-)…

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Q: Expand log,() o bg(3)-log,(2) O be2)-log-(

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Q: = log,25 -x=

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Q: 3 log, 2- 2log, 5

A: we need to learn basic logarithm formulae

Q: Solve. log, x + logo (x + 5) = 2 O x = -4, x = 9 O x = 4 O x = 9 O x = 4, x = -9

A: Use the properties of lograthim and form the equation into quadratic than Factories to solve.

Q: log₂ 288-=-=-log₂ 2

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Q: How are the two equations 102 = 100 and log10 100 = 2 related?

A: Here I am attaching image so that you understand each and every step.

Q: If log(7x + 3) - log(2x + 5) = 4, then the equation in exponential form is 104 = (7x + 3) - (2x +…

A: Equation Solve: log(7x+3)-log(2x+5)=4We know logm-logn=logmnTherefore…

Q: What value of x makes the equation log, (2x + 1) + log,(x - 3) = 2 true? %3D

A: we need to find the value of x that satisfies the given equation

Q: If log, 2x + log4(x- 2) = 2 then x is equal to? %3D

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Q: log, (1 – 4x) = log,(2x? + 3)

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Q: Evaluate the expression log3(log2 1/8) without using a calculator. If evaluation is not possible,…

A: Evaluate the expression log3(log2 1/8) without using a calculator. If the evaluation is not…

Q: Evaluate the expression log2 8 + log5 25 without using a calculator. If evaluation is not possible,…

A: Given expression: log28+log525

Q: 7. Solve. log, (x-6)+ log, (x-5)=1

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Q: Express the logarithm as a sum, difference, or multiple of logarithms (i.e., split up the log). ()…

A: we have to express the log as the sum , difference or multiple of logarithm. log2xa2

Q: 6. Use log, 10 3.322 and log 8s 0.903 to approximate the value of the expression. log, 100

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Q: 1 log,(x-1)-log,(x-4) = 2log, 232

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Q: Value of log2 32+ log₂ 16, will be.

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Q: Use properties of logarithms to expand the logarithmic expression logb(√xy3/z3) as much as possible.…

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Q: 5. Determine an expression in terms of x, y and whole numbers for log, 400 if log 980A

A: Introduction: We will use some logarithmic properties to solve this problem. log(mn)=log(m)+log(n)…

Q: Write the logarithmic expression 4log5y-3log5x+1/2log5z as a single logarithm with coefficient 1 and…

A: 4log5(y)-3log5(x) +12log5(z)Using, alogc(b)=logc(ba)We…

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: log, n - Glog, m – log, n) as a single logarithm. 4 1. Express- log, m + logx n) as a single…

A: We have to convert the following into a simple logarithm form -  34logxm + 23logxn - 12logxm -…

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A: log(a) + log(b) = log(a×b)

Q: Use the Laws of Logarithms to combine the expression. 5 In(2) + 2 In(x) -- In(x + 7) 2

A: Using laws of logarithm to simplify given expression.