College Algebra
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In our eReader you can find the full English version of the book. Read College Algebra Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book College Algebra
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Exponential equations. An equation which involves the unknown or unknowns in the exponents is often called an exponential equation. Thus, 2' = 16 is an exponential equation .__logio_a;^ logio 6 Art. 123] EXPONENTIAL EQUATIONS 163 in X. In this simple example, the value of x can be obtained by inspection ; but a table of logarithms is, in general, of value in solving exponential equations.
Such equations arise in a variety of problems. For instance, at compound interest, the amount of one dollar... at a nominal rate of 0.05 per annum is (see Problem 29, p. 160) ^=A+2:2?y dollars, in which t is the time in years and n is the number of times per year that interest is converted. We may also write '-[^^)-r When n is indefinitely increased, the interest is said to be con- verted continuously. It turns out that, in this case (see p. 194), where e is the base of natural logarithms.
Example : What will $1000 amount to in one year at 5% interest con- verted continuously ?
Solution : Let S be the amount of $ 1000 at the end of a year, then ^ = 1000e005, log S = log 1000 + 0.06 log e = 3.0217, iSf=$1051.
What to read after College Algebra?
You can find similar books in the "Read Also" column, or choose other free books by H L Henry Lewis Rietz to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Exponential equations. An equation which involves the unknown or unknowns in the exponents is often called an exponential equation. Thus, 2' = 16 is an exponential equation .__logio_a;^ logio 6 Art. 123] EXPONENTIAL EQUATIONS 163 in X. In this simple example, the value of x can be obtained by inspection ; but a table of logarithms is, in general, of value in solving exponential equations.
Such equations arise in a variety of problems. For instance, at compound interest, the amount of one dollar... at a nominal rate of 0.05 per annum is (see Problem 29, p. 160) ^=A+2:2?y dollars, in which t is the time in years and n is the number of times per year that interest is converted. We may also write '-[^^)-r When n is indefinitely increased, the interest is said to be con- verted continuously. It turns out that, in this case (see p. 194), where e is the base of natural logarithms.
Example : What will $1000 amount to in one year at 5% interest con- verted continuously ?
Solution : Let S be the amount of $ 1000 at the end of a year, then ^ = 1000e005, log S = log 1000 + 0.06 log e = 3.0217, iSf=$1051.
What to read after College Algebra?
You can find similar books in the "Read Also" column, or choose other free books by H L Henry Lewis Rietz to read onlineMoreLess
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