Skip to main content
Practice | SPM Add Math

SPM Additional Mathematics (KSSM)

Question
Bahasa Melayu
Diberi bahawa $\log_a b = \dfrac{\log_c b}{\log_c a}$, dengan keadaan $a$, $b$ dan $c$ adalah positif serta $a \ne 1$, $c \ne 1$.
Dengan menggunakan hukum ini, selesaikan persamaan $\log_5 5x - \log_{25}(4x + 12) = 1$.
Seterusnya, dengan menggunakan nilai $x$ yang diperoleh, cari nilai $\log_x \left(36\sqrt{6}\right)$.

English
It is given that $\log_a b = \dfrac{\log_c b}{\log_c a}$, where $a$, $b$ and $c$ are positive and $a \ne 1$, $c \ne 1$.
Using this law, solve the equation $\log_5 5x - \log_{25}(4x + 12) = 1$.
Hence, using the value of $x$ obtained, find the value of $\log_x \left(36\sqrt{6}\right)$.
[6 marks]
Preview

Tap to take a photo or choose an image

JPG or PNG accepted
Write with Apple Pencil on iPad (or finger / mouse) — the AI reads your working and grades it.
Type your answer
⌨ Math input▾
Modelled on Selangor trial · Kertas 2 · Q2(b)

Grading your answer... please wait

Modelled on Selangor trial · Kertas 2 · Q2(b)

🔗 Foundation Knowledge Gap Detected

This question requires understanding from these prerequisite chapters. Strengthen your foundations to improve your score.

Chapter 1
Functions
Important
0%
Not started
Go to Ch.1 — Practice Foundations →
Chapter 4
Quadratic Functions
Important
0%
Not started
Go to Ch.4 — Practice Foundations →
Try it free — the AI marks 3 answers a day. A free account marks 30 a day. Sign up free →
📖 Input mode Study the worked solution, then try one like it. Revealed questions aren't counted. Back to practice mode
ORBIT RAISED // LEVEL UP

Level Up!

Congratulations on your progress!