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Problem

Use Formula 10 to graph the given functions on a …

01:42

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Problem 42 Medium Difficulty

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

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


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Jeffrey Payo

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Calculus: Early Transcendentals

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Multivariate Functions - Intro

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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Partial Derivatives - Overview

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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Problem 57
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Video Transcript

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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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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12:15

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