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Unformatted text preview: Mat120  Homework Practice Section 14.5 Name___________________________________ Class Hour:______________________________ Solve the exponential equation by expressing each side as a power of the same base and then equating exponents. 1) 5x = 125 1) 2) 3(2x + 1 ) = 27 2) Solve the exponential equation by taking the natural logarithm of both sides. Express the solution set in terms of natural logarithms. 3) 10x = 7.99 3) 4) e(x + 2) = 8 4) Solve the exponential equation by taking the natural logarithm of both sides. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. 5) e0.35x = 34 5) Page 1 of 3 Solve the logarithmic equation. Be sure to reject any value that produces the logarithm of a nonpositive number in the original equation. 6) log3x = 4 6) 7) log2(x  4) = 3 7) 8) log3(x + 1) + log3(x  5) = 3 8) 9) log5(x + 1)  log5(x  2) = 4 9) Page 2 of 3 Solve the equation by isolating the natural logarithm and exponentiating both sides. Express the answer in terms of e. 10) ln x + 5 = 3 10) Solve the problem. 11) Find out how long it takes a $3100 investment to double if it is invested at 8% compounded monthly. Round to the nearest tenth of a year. Use the formula nt A=P 1+ r . n 11) Page 3 of 3 Answer Key Testname: 14.5_PRACTICEPP 1) {3} 2) {1} 3) { ln 7.99 } ln 10 4) ln 8  2 5) {10.08} 6) {81} 7) { 33 } 8 8) {8} 9) { 417 } 208 10) e6  5 11) 8.7 years Page 4 of 3 ...
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 Spring '08
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