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Use Formula 10 to evaluate each logarithm correct to six decimal places.

(a) $ \log_5 10 $(b) $ \log_3 57 $

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01:34

Jeffrey Payo

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 5

Inverse Functions and Logarithms

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Johns Hopkins University

Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

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A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.

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In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

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Use the Change of Base For…

for this problem. We're going to use the change of based formula to convert each of these algorithms into natural log. And then we can compute it with a calculator So long based five of 10 converts into the natural log of 10 divided by the natural log of five. When you put that in the calculator to six decimal places, you get 1.430677 Similarly, for part B, when we use the change of based formula, we get the natural log of 57 divided by the natural log of three. And when we put that in the calculator to six decimal places, we get 3.680 144

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