Exponential Functions and Equations:Question 1 Evaluate: log4 (1024) et one: O O 4 5 O3.5

Q: 1 Evaluate 7 log4 4

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Q: 0881 144 (1)| +| (2) |log3 2 (1) = (2)

A: Properties are used.

Q: Evaluate log5 80

A: The given expression is log580. log580=log516·5 Use the product rule of logarithms, loga mn=loga…

Q: form into one log expression:  log4(64 x √644) + log4(46 + 43 / √256)2

A: To form one log expression.

Q: 2 log (0.001) -4

A: For a positive number n, the logarithm of n is the power to which some number b must be raised to…

Q: Determine ALL restricted values for: Log (In (log2x)) 2 and explain why

A: The given function

Q: Evaluate: 10 logb(b3) − 4 logb(√b)

A: Let the given expression be y - y = 10logbb3-4logbby = 103logbb-4logbb12…

Q: Make a table of values for base-4 logarithm. Evaluate log4 16.

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Q: 3 Expand the logarithmic expression: In- x 2-4

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Q: Simplify the following into a single logarithm: 2 log(7) + 4log(z) 2.7 4x O log O log (7²x4) Olog…

A: Given 2log(7 )+ 4log(x)

Q: Evaluate: log₃(1/243)

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Q: - Evaluate log317 as a ratio of logarithms

A: Using the properties of logarithm we solve the given problem.

Q: If log, 2 = x and log, 3 = y, evaluate the following in terms of x and y: (a) log, 12 = (b) log, 324…

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Q: log 2 ( x2 -1) - log2 (9 x + 1 ) = 2 а. b. log 9 27 = m %3D

A: To evaluate the given logarithms.

Q: Evaluate: log,36²/3 given than log636 = 2

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Q: c. Evaluate log41024

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Q: logpQ x logoP

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Q: log7(26 times 10)

A: Topic = Logarithmic

Q: What is the remainder when 210203 is divided by 101? Find the longt 128

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