Math Questions With Solutions (3) Logarithms and Exponentials
A set of math questions related to exponential and logarithmic expressions and equations are presented. The solutions are provided and are located at the lower part of the page.
Question 1Evaluate the given exponential expressions without using a calculator.A. 10^{40.5} B. 10^{log(9) / 2} C. e^{3 ln(4)} D. 10^{2 Log(4)} E. e^{2 Ln(4)  ln(16)}
Question 2Evaluate the following logarithmic expressions without using a calculator.A. Log_{9}(3) B. Log_{2}(1/8) C. Log_{2}(400)  Log_{2}(100) D. Log_{8}(4) E. Log_{5}(600)  Log_{5}(24)
Question 3Solve the following exponential equations.A. e^{x} = 4 B. e^{x} = π ^{2} C. 4^{log4(3x  2)} = 10 D. 10^{log10(3x)} = 15 E. 3^{x+1} + 3^{x} + 3^{x1} = 39
Question 4Solve the following logaritmic equations.A. ln(ln(x)) = 4 B. ln(x)  ln(4) = 2 ln(x)  ln(16) C. (ln(x))^{5} = 25^{5/2} D. Log(x  1) = Log(6)  Log(x) E. Log_{3}(3^{x+1}  18) = 2 F. Log_{7}(x) + Log_{x}(7) = 2 G. Log_{x}(27) = 3/4
Solutions The Above Questions
Solution to Question 1
Solution to Question 2
Solution to Question 3
Solution to Question 4
More References and Links to Graphingmath questions and problems with detailed solutions .
