Combine 5log, A+ 2 log,B-3log,C as a single logarithm: (a) log2 ) (b) log; () (c) log, () (d) log,(5A + 2B – 3C) Select one: O (b) O (a) (d) O (C)

Q: loo7 (3x)= log, (5x-8

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Q: Write the expression x- y log7 49z in terms of A = log, x B = log, y %3D and C = log, z

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

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Q: Use log, 4 2 1.262 and log3 10 - 2.096 to evaluate each logarithm. a. log3 40 2 b. log, 16 2 c. log3

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Q: lo log, 7 - log, 5 3. 1083 %3D

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Q: What is the common logaruthim for  Log10641.11?

A: Common logarithm is the logarithm with base 10. It is also known as the decadic logarithm and as the…

Q: When the expression - log, (5) - log, (4) + log, (7), b > 1, is written in the form log, a, the…

A: We have to find value of a to the nearest hundredth.

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, (2°) + log, (æ) = 7

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Q: (a) log, 7- log, 6 = log, %3D (b) log, 2+ log, = log, 22 %3D (c) - 2 log, 5 = log, I

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Q: ab, 8) Simplify log2(-) 3

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Q: he expression logx (ab) is equal to   1. logx (a+B0 2. (logxa) (LogxB) 3. log (ax+bx) 4. logx a…

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Q: Find x so that 4 log,x=log, 81-log, 128 +log, 4 7.

A: We have to find x

Q: Evaluate log2 14 - log2 7 =?

A: Let's find.

Q: Write an expression equal to log, (5) + log,(6) using at most one log.

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Q: Expand the logarithimic expression. log(AB2C3)

A: logAB2C3

Q: Find fx) if fx) = logX-5 %3D x4-3

A: f'(x)=?

Q: Express as a logarithm of a single number/expression A to C . a. logx20+logx2 b.3log3x-log3y…

A:

Q: Which of the following are equivalent to log, (2)? Choose all that apply. O- log, () 1 Olog, (8) O…

A: Let's simplify each expression one by one.

Q: Condense each expression. 8. 5log,x- log,(8- x)

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Q: Use the properties of logarithms to write expression as a sum, difference, or product of simpler…

A: The logarithmic expression given is , ln2572. Simplify the logarithmic expression , using the…

Q: Express using a single logarithm  2loga2-logb-2loga2b+2logb

A: Given,

Q: Use the logarithmic properties to expand the expressions 1. log,7x 2. log,10a 3. log, 4. log,7x

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: Simplify into single log: 글 | log2 () + 2 log2 () + 3 – žlog, () a®b12 16a8

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Q: Explain why log,10 1 = 0.

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Q: Solve the equation.

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

Q: . log, (x² – 6x) = log, (-8)

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Q: Use log, 4 ~ 0.712 and log 12 ~1.277 to evaluate log, 48. log 48 =

A: Finding the value of log748 using the given conditions

Q: Evaluate: (a) log, 9 + log64 (b) In (c) 10log, (b³) – 4 log,(b)

A: (a) Evaluate the expression log69+log64 as follows. log69+log64=log6(9×4)…

Q: log, 4 = log, ||

A:

Q: Evaluate: log,16- log,2 + log,4 *

A: Given log216-log22+log24

Q: 3 log, 2- 2log, 5

A: we need to learn basic logarithm formulae

Q: 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)

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Q: Which of the following are equivalent to log, (4)? Choose all that apply. O log, (24) – log,(6) log,…

A: We use logarithmic properties

Q: Expand the logarithimic expression.

A: To expand the logarithmic expression: log5x21-5x32x3-x Solution: Properties of logarithmic…

Q: Use log, 6 = 1.792 and/or log, 3 = 1.099 to find log, 6b.

A: Using properties of log, this is computable

Q: 4. log,- log, 7 log,

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Q: express using a single log 2loga2 - logb - 2loga2b + 2logb

A: Using power rule and product rule for logarithmic expressions.

Q: Solve : log, (26 – x) = 3 log, 6 - 703 242 755 -190 190

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Q: (a) Calculate log1000 + 5log10. (b) Simplify a4b6c5 b²c3 and give the answer with positive indices.

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Q: Evaluate: log, 343 + 2 log4 256, - log5 5

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Q: Write in terms of simpler forms  logbM8

A: Given,

Q: Suppose log, 8 = 0.724 and log, 6 = 0.624. Find: () (a) log, 48 (b) log, 3 (c) log, 64

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Q: What is the value of log, 81- log, 27? А. 1 B. -1 С.3 D. -3

A: The given expression is                                           log381-log327 To find the value of…

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

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Q: (c) log, 2k (d) 74log, 5 – 5 log, 4

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Q: Solve for x: log,(6) + log,(x) = log,(12)+log,(x – 1)

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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: Expand the logarithmic expression: log, log,3 A log,x C og,x- log,3 D log,3 – og,X B x log,3 a) b)…

A: