Answered: (Practice on Logarithmic functions)…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.5: Logarithmic Properties

Problem 40SE: Can the power property oflogarithms be derivedfrom the power property of exponents using theequation...

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(Practice on Logarithmic functions)

What is log264?

What is log100.1?

Is log2ab = log2a + log2b? Why?

To represent an integer value of n in decimal, we need to use ⌈log10(n + 1)⌉ digits . Verify this using n = 35, 1290. Note that for any real number x, ⌈x⌉ is the smallest integer that is greater than x, this means we always round up. For example, ⌈10.3⌉ = 11, ⌈−5.2⌉ = −5.

To represent an intege value of n in binary, we need to use ⌈log2(n + 1)⌉ binary digits . Verify this using n = 35, 1290.

Use the definition of logarithmic function to show that

log2n / log10n = log210

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