Question
Find the value of: $\log _3 81$
✓
Answer
$\log _3 81$
Let $\log _381 = x$
$\Rightarrow 3^x= 81$
$\Rightarrow 3^x = 3^4$
$\therefore x = 4.$
Let $\log _381 = x$
$\Rightarrow 3^x= 81$
$\Rightarrow 3^x = 3^4$
$\therefore x = 4.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In the given figure, $X Y\|B C, B E\| C A$ and $F C \| A B$.
Prove that: $\operatorname{ar}(\triangle ABE )=\operatorname{ar}(\triangle ACF )$.
→Prove that: $\operatorname{ar}(\triangle ABE )=\operatorname{ar}(\triangle ACF )$.
The volume of a cube is $729 \ cm^3.$ Find its total surface area.
→Draw the graph of:
x + 4 = 0
x + 4 = 0
The following figure shows a solid of uniform cross$-$section. Find the volume of the solid. All measurements are in centimeters.
Assume that all angles in the figures are right angles.
→Assume that all angles in the figures are right angles.
Without using trigonometric tables, find the values of :
$\cos 90+\cos ^2 45 \sin 30 \tan 45$
→$\cos 90+\cos ^2 45 \sin 30 \tan 45$
Evaluate the following$: \frac{\cos 34^{\circ} \cos 35^{\circ}}{\sin 57^{\circ} \sin 56^{\circ}}$
→If $\sqrt{3} = 1.732,$ find $($correct to two decimal place$)$ the value of $\frac{2}{\tan 30^{\circ}}$
→Find $x$ in the following when$: \log _3 243 = x$
→Without using trigonometric tables, evaluate.
$\frac{\sec 38^{\circ}}{\operatorname{cosec} 52^{\circ}}$
→$\frac{\sec 38^{\circ}}{\operatorname{cosec} 52^{\circ}}$
If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.