Take this Quiz: A-Level Maths: Exponentials and Logarithms | Zestly

Question 1

Which of the following expressions are equivalent to $\ln(12)$?

Accepted Answer

$2\ln(2) + \ln(3)$

Question 2

Given the relationship $y = ab^x$, which transformation produces a linear graph of the form $Y = mX + c$?

Accepted Answer

Plot $\ln(y)$ against $x$

Question 3

Which of the following statements regarding the functions $f(x) = e^x$ and $g(x) = \ln(x)$ are true?

Accepted Answer

They are reflections of each other in the line $y = x$

Question 4

Solve for $x$: $\ln(x+3) + \ln(x-1) = \ln(5)$.

Answer

$x = 4$

Answer

$x = 2$

Answer

$x = -4$

Answer

$x = 1$

Question 5

Given $y = ax^n$, which plot yields a straight line?

Answer

$\ln(y)$ against $\ln(x)$

Answer

$\log_{10}(y)$ against $x$

Answer

$\log_{10}(y)$ against $\log_{10}(x)$

Answer

$y$ against $x^n$