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Given that log 2 = x, log 3 = y and log 7 = z, express the following expressions in terms of x, y, and z. (1) log 12 (2) log 200. 14. (3) log (4) log 0:3. 3. (5) log 1:5 (6) log 10:5 6000. (7) log 15 (8) log. 7.
Section 1. Logarithms. The mathematics of logarithms and exponentials occurs naturally in many branches of science. It is very important in solving problems related to growth and decay. The growth and decay may be that of a plant or a population, a crystalline structure or money in the bank.
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SOLVING LOGARITHMIC EQUATIONS. Directions: Solve each logarithmic equation. Remember to check for extraneous solutions! 1. log(5 ) = log(2 + 9) 3.) log(4 − 2) = log(−5 + 5) 5.) log(−2 + 9) = log(7 − 4 ) 7.) −10 + log3( + 3) = −10. 9.) log(− ) + 2 = 4.
These logarithmic worksheets are designed to guide students from basic to advanced concepts, providing a step-by-step progression that encourages confidence and competence. For teachers, the collection offers a ready-made resource to assign homework or in-class practice, saving time and ensuring comprehensive coverage of logarithmic topics.
How do we decide what is the correct way to solve a logarithmic problem? The key is to look at the problem and decide if the problem contains only logarithms or if the problem has terms without logarithms.
Simplify each of the following logarithmic expressions, giving the final answer as a single fraction. a) log 24 b) log 84 c) log 2 24 ( ) d) 5 1 log 125 1 2, 3 2, 3 4, 3 2 −
