Question bank

TMUA-P1-MM5-001

The curve $y = 3^x$ crosses the $y$-axis at $(0, k)$. What is the value of $k$?

TMUA-P1-MM5-002

Evaluate $\log_3 81$.

TMUA-P1-MM5-003

Evaluate $\log_{10} 4 + \log_{10} 25$.

TMUA-P1-MM5-004

Solve $5^{2x} = 125$.

TMUA-P1-MM5-005

Solve $\log_2 x + \log_2(x - 2) = 3$, where $x$ is real.

TMUA-P1-MM5-006

Find all real solutions of $2^{2x} - 5 \cdot 2^x + 4 = 0$.

TMUA-P1-MM5-007

Given that $\log_2 x = 5$, what is the value of $\log_2(x^3)$?

TMUA-P1-MM5-008

Which of the following statements about the curve $y = 5^{-x}$ is true?

TMUA-P1-MM5-009

What is the sum of all real solutions of $4^x - 3 \cdot 2^{x+1} + 8 = 0$?

TMUA-P1-MM5-010

Solve $\log_3(2x + 1) - \log_3(x - 1) = 2$, where $x$ is real.

TMUA-P1-MM5-012

Evaluate $\log_2 8$.

TMUA-P1-MM5-013

Evaluate $\log_{10} 2 + \log_{10} 5$.

TMUA-P1-MM5-014

Solve $2^x = 32$.

TMUA-P1-MM5-015

Simplify $e^{2\ln 3}$.

TMUA-P1-MM5-016

Solve $\log_2 x + \log_2(x-2) = 3$.

TMUA-P1-MM5-017

Find the sum of all solutions of $3^{2x} - 4 \cdot 3^x + 3 = 0$.

TMUA-P1X-MM5-01

Evaluate $\log_{10} 2 + \log_{10} 50$.

TMUA-P1X-MM5-02

Solve $\log_2 x + \log_2(x + 2) = 3$, where $x$ is real.

TMUA-P1X-MM5-03

Find all real solutions of $3^{2x} - 4 \cdot 3^x + 3 = 0$.

TMUA-P1X-MM5-04

Solve $\log_3(3x - 1) - \log_3(x + 1) = 2$, where $x$ is real.

TMUA-P2-MM5-001

What is the value of $\log_2 32 + \log_2 \left(\frac14\right)$?