By Mark Ball

ISBN-10: 0132344378

ISBN-13: 9780132344371

This obtainable textual content brings jointly mathematical suggestions that may be fundamental to each pupil, instructor, practitioner, and person of chemistry- or biology-related laboratory paintings. Responding to the troubles of either teachers and scholars, * CLINICAL LABORATORY MATHEMATICS * starts off with a assessment of mathematics and algebra. subsequent, it provides example-rich chapters on exponential notation and logarithms, rounding and determine importance, dimension platforms, strategies and concentrations, dilutions, proportionality, graphs, premiums of switch, data, chemistry, qc, and technique evaluate. It solutions commonly asked questions, identifies universal misunderstandings, and provides an non-compulsory complex part on-line. all through, the writer explains why a great realizing of math is necessary in contemporary high-technology scientific laboratories. perform difficulties are strategically designed to give real-world eventualities with either context and final result. helping either self-guided research and conventional lecture-discussion, the textual content is logically equipped and liberally cross-referenced, revealing hidden connections and customary motifs.

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**Extra info for Clinical Laboratory Mathematics**

**Example text**

The logarithm of 32 to the base 2 is 5, meaning that “5” is the exponent to which 2 must be raised to give 32: 25 = 2 * 2 * 2 * 2 * 2 = 32 Likewise, 63 = 216. In exponential form, write this relationship: log10 100,000 = 5. In logarithmic form, write this relationship: 28 = 256. 3. Evaluate the following logarithms. log10 100 (b) log3 27 (c) log5 625 (d) log2 8 (a) 4. Evaluate the following antilogarithms. antilog10 3 (b) antilog10 6 (c) antilog2 5 (d) antilog4 3 (a) 1. 105 = 100,000 2. (a) 1000 (b) 1,000,000 (c) 32 (d) 64 Negative Exponents All the exponents in the previous section are positive, and their interpretation is clear: the exponent is the number of times we multiply the base by itself.

Although this notation tells you to multiply 10 by itself three and a half times, what does that mean? Clearly, 103 = 10 * 10 * 10 = 1000 and 104 = 10 * 10 * 10 * 10 = 10,000. 5 must fall between 1000 and 10,000. But is it halfway between? Does this mean to multiply 10 by itself three times and then once by half of 10 (5)? ” Next, recall the rule that bm/n = (bm)1/n = (b1/m)n. 5” instructs us to multiply 10 by itself three and a half times, we can interpret it in one of two other ways: (1) multiply 10 by itself seven times and then take the square root, or (2) take the square root of 10 and then multiply the result by itself seven times.

14. 7182818: 47 15. 303 log x 16. There are sound reasons for developing a working understanding of logarithms. Logarithms can accelerate calculations, they can simplify very large or very small numbers, they can make graphs more revealing, and they can restore symmetry to ratios. Furthermore, relying blindly on calculators creates dependency. 7182818) x Practice Problems 1. (LO 2, 3) Write each of the following relationships in exponential form. 4. (LO 3, 10) Write each of the following numbers in exponential notation.