02/04/2020 Logarithmic and Exponential Functions(Senior Class Maths Study by Topics) 02/04/2020 0Comments by Gate Academy Welcome to your Logarithmic and Exponential Functions(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. Evaluate:log327 + log36 – log354 1/3 1 2 0 2. Simplify without calculator: ((3-1 - 9-1) / 6)1/3 1/3 1/7 1/2 1/9 3. Solve for x : 5(2 x-3) = 160 10 6 7 8 4. Simplify without calculator: log6(216) + [ log(42) - log(6) ] / log(49) 3/2 1/2 5/2 7/2 5. Find constant A such that log3 x = A log5x , for all x > 0. ln(5) / ln(3) ln(5) logx5 ln(5) / ln(x) 6. Solve for x0.01 x = 100 0 1 -1 2 7. Simplify : 2-3 x 163/4 x 20 1/2 0 2 1 8. Simplify: 1 0 3 2 9. Given that logb2 = 0.693 and logb5 = 1.609, evaluate: logb62.5 4.134 5.520 1.016 2.202 10. Without using tables, evaluate (0.027)-1/3 x (0.09)3/2 0.3 0.03 0.9 0.09 11. Find n if 91+n x 3 = 27-n 1/3 -3/5 -1/3 3/5 12. Solve for m: 4 2 6 -6 13. If log102 = 0.3010, the number whose logarithm is equals 0.08 0.06 0.008 0.006 14. Evaluate , without calculator, the logarithmic expression:log0.1 10 -1 1 0 2 15. The value of 10 2 8 12 16. If a = x1/n, logaxn is n n² n-² n-¹ 17. The expressionis equal to 2/3 4/9 9/4 3/2 18. If log 4 = 0.6021, evaluate:log 40 + log 400 8.4084 9.4084 10.4084 7.4084 19. If log10x = 0.5,the value of x is √5 0.05 5.0 √10 20. Find the value of x if log4x = 3.5 256 14 64 128 21. If log4p + log4q2 = 0, then p is given by q/2 2/q q 1/q 22. Solve x ym = yx3 for m In(x/y) 2 + In(x) 1 + 2 ln(x) / ln(y) ln(x) / ln(y) 23. Which of the following is not a factor of 134 – 54? 97 32 26 144 24. Solve for x the exponential equation: 3 x = 9 4 2 1 3 25. Change the given exponential expressions into logarithmic expressions: x2 = a 2 = log x (a) a = log a 2 = log x a = log x (2) 1 out of 25 Time is Up! Time's up