Logarithms

Logarithm, SMB-024

Solve for . (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Logarithm, SMB-023

Solve for . (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Logarithm, SMB-022

Solve for , giving your answer correct to 1 decimal place. (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Logarithm, SMB-021

Solve for , giving your answer correct to 2 decimal places. (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Logarithm, SMB-020

Solve for . (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Logarithm, SMB-019

Solve . (2 marks)

Show Answers Only

Show Worked Solution

Logarithm, SMB-018

Evaluate given and . (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Logarithm, SMB-017

Evaluate given and . (2 marks)

Show Answers Only

Show Worked Solution

Logarithm, SMB-016

Evaluate given and . (2 marks)

Show Answers Only

Show Worked Solution

Logarithms, SMB-015

Evaluate given and . (2 marks)

Show Answers Only

Show Worked Solution

Logarithms, SMB-014

Evaluate given and . (2 marks)

Show Answers Only

Show Worked Solution

Logarithms, SMB-013

Evaluate given and . (2 marks)

Show Answers Only

Show Worked Solution

Logarithm, SMB-012

Solve the equation . (2 marks)

Show Answers Only

Show Worked Solution

Logarithms, SMB-011

Solve the equation . (2 marks)

Show Answers Only

Show Worked Solution

Logarithms, SMB-010

Solve the equation . (3 marks)

--- 6 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Logarithms, SMB-009

What is the solution to the equation ? (2 marks)

Show Answers Only

Show Worked Solution

L&E, 2ADV E1 2008 HSC 7a

Solve (3 marks)

--- 6 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

IMPORTANT: Students should recognise this equation as a quadratic, and the best responses substituted

with a variable such as

MARKER’S COMMENT: Many responses incorrectly stated that there is no solution to

or could not find

given

Logarithms, SMB-008

What is the solution to the equation ? (1 mark)

Show Answers Only

Show Worked Solution

Logarithms, SMB-007

Use the change of base formula to evaluate , correct to two decimal places. (1 mark)

Show Answers Only

Show Worked Solution

Logarithms, SMB-006 MC

The expression

is equal to

Show Answers Only

Show Worked Solution

Logarithms, SMB-005

Solve for . (3 marks)

--- 6 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Logarithms, SMB-004

Solve for , where . (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Logarithms, SMB-003

Solve the equation for (2 marks)

Show Answers Only

Show Worked Solution

Logarithms, SMB-002

Solve the equation , for . (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Logarithms, SMB-001 MC

It is given that , where

Which statement is true?

Show Answers Only

Show Worked Solution

Mean mark 51%.
COMMENT: Use of log laws here proved difficult for many students.

L&E, 2ADV E1 2019 HSC 5 MC

Which of the following is equal to ?

Show Answers Only

Show Worked Solution

L&E, 2ADV E1 2016 HSC 14e

Write in the form where and are integers greater than (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

♦ Mean mark 40%.

TIP: Note that

L&E, 2ADV E1 2005 HSC 5a

Use the change of base formula to evaluate , correct to two decimal places. (1 mark)

Show Answers Only

Show Worked Solution

L&E, 2ADV E1 2014 HSC 3 MC

What is the solution to the equation ?

Show Answers Only

Show Worked Solution

L&E, 2ADV E1 2013 HSC 9 MC

What is the solution of ?

Show Answer Only

Show Worked Solutions