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One side is in English for you to understand, and one is on Spanish (the original) 13. Solve the following equations: 13. Resuelva las siguientes

One side is in English for you to understand, and one is on Spanish (the original)

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13. Solve the following equations: 13. Resuelva las siguientes ecuaciones: a) 3 291 = 5 a) 32x-1 = 5 b) 3 692 b) 36 - 2x = c) 2 24 12=91 c) 23x+1 = 3 14. Resuelva las siguientes ecuaciones: 14. Solve the following equations: a) log3 a) log3 (5x - 6) = 2 (5x - 6) = 2 b) log2 + log2 ( y 3) = 2 c) b) log2 x + log2(x - 3) = 2 log2 ( y y 2) = 2 d) log2 3 + log2 = log2 c) logz(x2 - x - 2) = 2 5 + log2 ( y2)-e@ log5 ( + 1) y log5 ( y 1) d) log2 3 + log2 x = log2 5 + log2(x - 2) e) logs(x + 1) - logs(x - 1) = 2 15. Use las Leyes de Logaritmos para combinar la expresion. 15. Use the Laws of Logarithms to combine the expression. a) log 12 + -log 7 - log 4 a) log 12 + -log 7 y log 4 b) log(x + 2)3 + [logx* - log(x2 - x - 6)2] b) - log( + 2) 1+- [log * log( ' y y 6) 16. Use las Leyes de Logaritmos para expandir la expresion. 16. Use the Laws of Logarithms to expand the expression. 3yy1 In x3 Vx - 1 3x +4 In ( 3+4) 17. Use las Leyes de los Logaritmos para expandir la expresion: log (x2) (") 17. Use the Laws of Logarithms to expand the expression: [(2) (3 18. Evaluate expresion: log3 (243) 18. Evaluate the expression: log3 ( 1 243) 19. Evalue las expresiones siguientes: a) log2 6 - log2 15 + log2 20 19. Evaluate the following expressions: a) b) log3 V27 + 10g 7006 + log, 16100 log2 6 y log2 15 + log2 20 b) log3 y27 + log + log4 16100 20. Reescribe como un solo logaritmo la expresion: In 3 - 7 In x + 4 In (x2 -6) 20. Rewrite the expression as a single logarithm: In 3 - 7 In x + 4 In (x2 -6) 21. Resuelva los problemas siguientes: I. Una mujer invierte $6500 en una cuenta que paga 6% de interes por ano, capitalizado continuamente. 21. Solve the following problems: I. (a) Cual es la cantidad despues de 2 anos? A woman invests $6,500 in an account that pays 6% interest per year, compounded (b) Cuanto tiempo tomara para que la cantidad sea $8000? continually. II. Cuanto tiempo tardara una inversion de $1000 en triplicar su valor, si la tasa de interes (a) What is the amount after 2 years? (b) es 8.5% por ano, capitalizado continuamente? How long will it take for the amount to be $8,000? III Un hombre invierte $8500 en una cuenta que paga 7.5% de interes por ano, capitalizado II. How long will it take for a $1,000 investment to triple in value if the interest rate trimestralmente. is 8.5% per year, compounded continuously? (a) Encuentro la cantidad despues de 3 anos. Ill. A man invests $8,500 in an account that pays 7.5% interest per year, compounded (b) Cuanto tiempo tomara para que la inversion se duplique? quarterly. (a) Find the amount after 3 years. (b) How long will it take for the investment to double

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