∫VCE Maths Practice

Practice Progress Season Pass

VCE® is a registered trademark of the Victorian Curriculum and Assessment Authority (VCAA). The VCAA does not endorse or make any warranties regarding this study resource.

Past VCAA examination questions are © VCAA. Hints, practice questions and worked solutions are © VCE Maths Practice.

Methods2024 NHT Exam 2 Section A · Q3CAS active1 mark

Logarithm laws to relate a, b and c

Get help with this question with a Mathematical Methods Season Pass

Step-by-step hints
Instant answer checking
Worked solutions, VCAA-style marks

Unlock with Season Pass

The positive real numbers $a$ , $b$ and $c$ satisfy the equation

$\log_5 a + \log_5 b = 2\log_5 c$

Therefore, it must be true that

1 mark

A

a = 2c - b

B

a = c^2 - b

C

a = \frac{2c}{b}

D

a = \frac{c^2}{b}

E

a = \frac{b}{2c}

Hints, answer checking and worked solutions come with a Season Pass.