Question
Bahasa Melayu
Diberi bahawa
$$\dfrac{16^{\,x+1}}{32^{\left(\sqrt{y}\,-\,2\right)}} = 1$$
dengan keadaan indeks bagi $32$ ialah keseluruhan ungkapan $\sqrt{y} - 2$, dan tanda punca kuasa dua itu meliputi $y$ sahaja. Diberi juga bahawa
$$x = \dfrac{8}{5 - \sqrt{5}} + \dfrac{8}{5 + \sqrt{5}}$$
Cari nilai $y$.
$$\dfrac{16^{\,x+1}}{32^{\left(\sqrt{y}\,-\,2\right)}} = 1$$
dengan keadaan indeks bagi $32$ ialah keseluruhan ungkapan $\sqrt{y} - 2$, dan tanda punca kuasa dua itu meliputi $y$ sahaja. Diberi juga bahawa
$$x = \dfrac{8}{5 - \sqrt{5}} + \dfrac{8}{5 + \sqrt{5}}$$
Cari nilai $y$.
English
It is given that
$$\dfrac{16^{\,x+1}}{32^{\left(\sqrt{y}\,-\,2\right)}} = 1$$
where the index of $32$ is the whole expression $\sqrt{y} - 2$, and the square root sign covers $y$ only. It is also given that
$$x = \dfrac{8}{5 - \sqrt{5}} + \dfrac{8}{5 + \sqrt{5}}$$
Find the value of $y$.
$$\dfrac{16^{\,x+1}}{32^{\left(\sqrt{y}\,-\,2\right)}} = 1$$
where the index of $32$ is the whole expression $\sqrt{y} - 2$, and the square root sign covers $y$ only. It is also given that
$$x = \dfrac{8}{5 - \sqrt{5}} + \dfrac{8}{5 + \sqrt{5}}$$
Find the value of $y$.
Tap to take a photo or choose an image
JPG or PNG acceptedWrite with Apple Pencil on iPad (or finger / mouse) — the AI reads your working and grades it.
Type your answer
Loading…
⌨ Math input▾
Modelled on SBP trial · Kertas 2 · Q4(b)
Grading your answer... please wait
Modelled on SBP trial · Kertas 2 · Q4(b)
Find this hard? There are simpler questions on this skill
Solve aˣ = b with logs (exact and 3 s.f.)
10 quick questions · about 60 s each · checked instantly · no account needed →
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