Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 2 - Logarithmic and Exponential Functions>EXERCISE 2G>Q 6

EASY

AS and A Level

IMPORTANT

Earn 100

Solve, giving your answer in terms of natural logarithms.

$e^{3 x} = 7$

Important Questions on Logarithmic and Exponential Functions

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 2 - Logarithmic and Exponential Functions>EXERCISE 2G>Q 6

Solve, giving your answer in terms of natural logarithms.

$e^{2 x - 1} = 6$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 2 - Logarithmic and Exponential Functions>EXERCISE 2G>Q 6

Solve, giving your answer correct to $3$ significant figures.

$e^{\frac{1}{2} x + 3} = 4$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 2 - Logarithmic and Exponential Functions>EXERCISE 2G>Q 7

Solve, giving your answer in terms of natural logarithms.

$e^{x} > 10$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 2 - Logarithmic and Exponential Functions>EXERCISE 2G>Q 7

Solve, giving your answer in terms of natural logarithms.

$e^{5 x - 2} \leq 35$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 2 - Logarithmic and Exponential Functions>EXERCISE 2G>Q 7

Solve, giving your answer in terms of natural logarithms.

$5 \times e^{2 x + 3} < 1$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 2 - Logarithmic and Exponential Functions>EXERCISE 2G>Q 8

Solve, giving your answer correct to $3$ significant figures.

$\ln x = 5$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 2 - Logarithmic and Exponential Functions>EXERCISE 2G>Q 8

Solve, giving your answer correct to $3$ significant figures.

$\ln x = - 4$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 2 - Logarithmic and Exponential Functions>EXERCISE 2G>Q 8

Solve, giving your answer correct to $3$ significant figures.

$\ln (x - 2) = 6$