If (a + 1) = (4a - 3) - 3; find a. - Vidyadip

Question

If $\log (a + 1) = \log (4a - 3) - \log 3;$ find $a.$

✓

Answer

$\log (a + 1) = \log (4a - 3) - \log 3$
$\Rightarrow \log (a + 1) + \log 3 = \log (4a - 3)$
$\Rightarrow \log {3(a + 1)} = \log (4a - 3)$
$\Rightarrow 3 (a + 1) = 4a - 3$
$\Rightarrow 3a + 3 = 4a - 3$
$\Rightarrow 4a - 3a = 3 + 3$
$\Rightarrow a = 6.$

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 "[3 marks sum]" 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 : $100-9 p^2$

If $x=(4-\sqrt{15})$, find the values of $\left(x^2+\frac{1}{x^2}\right)$.

Draw a line segment of length $\sqrt{3} \mathrm{~cm}$.

In quadrilateral $\text{ABCD},$ side $\text{AB}$ is the longest and side $\text{DC}$ is the shortest.Prove that$: C > A.$

In a $\triangle ABC, AD$ is a median and $E$ is mid$-$point of median $AD$. A line through $B$ and $E$ meets $AC$ at point $F.$
Prove that$: AC = 3AF.$

If $\left(x+\frac{1}{x}\right)=3$, show that $\left(x^3+\frac{1}{x^3}\right)=0$.

Factorise : $(x^2+ 4y^2- 9z^2)^2- 16x^2y^2$

Find the distance between the point :
C (4, -5) and D (12, -11)

In the figure of question $2,$ if $E$ is the mid$-$ point of median $AD,$ then prove that:Area $( ΔABE ) =\frac{1}{4}$ Area $( ΔABC ).$

If $p+\frac{1}{p}=6 ;$ find $: p^4+\frac{1}{p^4}$