Numerade

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Question 12 Solving Logarithmic Equations Solve the Logarithmic Equation $3 \log_4 x = 2$ by following the steps below. Note: You must give each answer written as an equation. $3 \log_4 x = 2$ Original Equation ISOLATE the logarithmic part of the equation Change the equation to EXPONENTIAL form $x = $ Final numerical solution rounded to three decimal places

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Assume you used the multiple tube fermentation method to test a water sample and you observe turbidity and gas in some of the LTB tubes. A couple of days later you observe your BGLB samples and note that none of the tubes appear turbid and gas is not evident in any of the samples. Based on this, what do you predict you will observe for the EC part of the testing?

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What does it mean to consciously create our lives? Group of answer choices A. Through the power of positive thinking, we can make things happen in our world B. It is an impossible thing – we are all just victims of chance and fate. C. When we are sleeping we dream about our lives D. We leave everyone else alone and only focus on ourselves

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What is the difference between an enriched food and a fortified food?

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Find the interval of convergence for the following power series. a. $\sum_{n=1}^{\infty} \frac{2^n}{3^n} (x + 3)^n$ b. $\sum_{n=1}^{\infty} \frac{(-5)^n}{n^2} (x - 3)^n$

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Assume that a consumer has a given budget or income of $10 and that she can buy only two goods, apples or bananas. The price of an apple is $100 and the price of a banana is $0.50. If the consumer decides to buy 4 apples, how many bananas can she also buy with the remainder of her budget, assuming she exhausts her Income?

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a) Find the spin matrix $S_n = \vec{S} \cdot \hat{n}$ in the $\hat{n} = \frac{1}{\sqrt{2}}\hat{x} + \frac{1}{\sqrt{2}}\hat{y}$ direction. b) Assume that $H = \omega S_x$ and that time $t = 0$ the state of the system is $|\psi(0)\rangle = |+n\rangle$. Find the state of the system at a later time, $|\psi(t)\rangle$. c) Find the expectation value of $S_n$ at any time d) Check that the equation $\frac{d}{dt}\langle S_n\rangle = \frac{1}{i\hbar}\langle [S_n, H]\rangle$ holds

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1. (10 points) Gravitational field is created by two equal point masses m. Using definition of gravitational field draw the field vector at point A equally distant from both masses.

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Atmospheric air (Chapter 14 topic) consists of approximately 20.6% oxygen, 78% nitrogen, ~0.8% argon, ~400 ppm carbon dioxide, and the balance of water vapor on a molar basis. Determine (a) the mole fraction and (b) mass fraction of each constituent. Determine (c) the molar mass of atmospheric air based on this composition and compare this value to value given in the appendix for dry air.

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logan a.