Download App

Logarithms — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSLogarithms2 Marks
Question
Evaluate: $\log_ba \times \log_c b \times \log_a c.$
✓

Answer

$ \log _{\mathrm{b}} \mathrm{a} \times \log _{\mathrm{c}} \mathrm{b} \times \log _{\mathrm{a}} \mathrm{c} $
$ \Rightarrow \frac{\log _{10} a}{\log _{10} b} \times \frac{\log _{10} b}{\log _{10} c} \times \frac{\log _{10} c}{\log _{10} a}$
$ \Rightarrow 1$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[2 Mark Question Answer]" from Logarithms→Logarithms — all question types→MATHEMATICS STD 9 question papers→ICSE Board STD 9 question papers→ICSE Board question paper generator→

Similar questions

Factorise:
$10+3 x-x^2$
→
Express each of the following in terms of trigonometric ratios of angles between $0^\circ $ and $45^\circ : \operatorname{cosec}64^\circ + \sec70^\circ $
→
Evaluate $: \sin^2 35^\circ - \cos^2 55^\circ$
→
If $\sin x = \cos x$ and $x$ is acute, state the value of $x$
→
Write down the values of:
$\left(\frac{3}{2 \sqrt{2}}\right)^2$
→
Given (log _{10} x=a, log _{10} y=b),If $\log _{10} P =2 a-b$, express P in terms of $x$ and $y$.
→
Using the standard formulae, expand:
$(4 a+9)^2$
→
Factorise:
$x^2-y^2-4 x z+4 z^2$
→
A square is inscribed in a circle of radius $7\ cm.$ Find the area of the square.
→
Using the standard formulae, expand:
$\left(5 x-\frac{2}{3 x}\right)^2$
→