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Chapter 5: Q 77. (page 309)

Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to three decimal places.
$\log_{π} e$

Short Answer

Expert verified

$0.874$

Step by step solution

01

Step 1. Given information.

Consider the given information.

$\log_{π} e$

02

Step 2. Calculation.

Apply the base change formula and simplify.

$\begin{array}{l} \log_{π} e = \frac{\log e}{\log π} \\ \approx 0.874 \end{array}$

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Most popular questions from this chapter

If $g (- 5) = 3$ and g is one-to-one, what is $g^{- 1} (3)$ ?

Solve given equation and verify your result using graphing utility.

$e^{x^{2}} = e^{3 x} . \frac{1}{e^{2}}$

Ideal Body Weight One model for the ideal body weight W for men (in kilograms) as a function of height h (in inches) is given by the function

$W (h) = 50 + 2.3 (h - 60)$

(a) What is the ideal weight of a $6$ -foot male?

(b) Express the height has a function of weight W.

(c) Verify that $h = W (h)$ is the inverse of $W = W (h)$ by showing that role="math" localid="1646158219737" $h (W (h)) = h$ and $W (h (W)) = W$ .

(d) What is the height of a male who is at his ideal weight of $80$ kilograms?

[Note: The ideal body weight W for women (in kilograms) as a function of height h (in inches) is given byrole="math" localid="1646159253780" $W (h) = 45.5 + 2.3 (h - 60)$ .

Solve the equation. Verify your results using a graphing utility.

$7^{x} = 7^{3}$

In Problems 61–72, the function f is one-to-one. Find its inverse and check your answer.

$f (x) = \frac{2 x - 3}{x + 4}$

See all solutions

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