Use properties of logarithms to expand the logarithmic expression logb(x3y/z2) as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.

Answered: Use properties of logarithms to expand…

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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Use properties of logarithms to expand the logarithmic expression log_b(x³y/z²) as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.

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$\begin{matrix} Consider the following: \\ Product Rule: \\ log (x y) = \log (x) + \log (y) \\ Quotient Rule: \\ log (\frac{x}{y}) = \log (x) - \log (y) \\ Log of power: \\ log (x^{y}) = y \log (x) \end{matrix}$

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