4^(2n+3) = 8^(n+5)? - Testpoint

Testpoint Whatsapp group

Testpoint Whatsapp group

4^(2n+3) = 8^(n+5)?

9
7
8
None of these

Explanation

Let's solve the equation:

4^(2n+3) = 8^(n+5)

Expressing both sides with base 2:

(2^2)^(2n+3) = (2^3)^(n+5)

2^(4n+6) = 2^(3n+15)

Equating exponents:

4n + 6 = 3n + 15

4n - 3n = 15 - 6

n = 9

Related MCQs

If the point is (a,−a), then it lies on which line?

y=x
y=−x
y=a
x=a

اس سوال کو وضاحت کے ساتھ پڑھیں

Find the sum: 2×1^2 +4×2^2 +6×3^ +⋯+20×10^2

76,440
77,000
77,440
6050

اس سوال کو وضاحت کے ساتھ پڑھیں

Explanation

Given:

2 \times 1^^{2} + 4 \times 2^^{2} + 6 \times 3^^{2} + \dots + 20 \times 1 0^2

Write the terms as:

2 (1^^{3}) + 2 (2^^{3}) + 2 (3^^{3}) + \dots + 2 (1 0^^{3})

= 2 (1^^{3} + 2^^{3} + 3^^{3} + \dots + 1 0^^{3})

Using the formula:

1^3+2^3+cdots+n^3=left[frac{n(n+1)}{2}right]^2

For $n = 10$ :

= 2 [10 ( 11 )/2]^^{2}

= 2 (55)^^{2}

= 2 \times 3025

6050

$Last updated 27-07-2026 by NA$

If x+y=16 and x−y=3, then x^2 −^ 2 =?

19
48
256
13

اس سوال کو وضاحت کے ساتھ پڑھیں

Explanation

Given:

$x + y = 16$
$x-y=3$

Using the identity:

$x^{2} - y^{2} = (x + y) (x - y)$ $= 16 \times 3$

$= 48$

$Last updated 27-07-2026 by NA$

If y is directly proportional to x and x = 2, y = 5, then find y when x = 7?

15
35/2
25/2
None of these

اس سوال کو وضاحت کے ساتھ پڑھیں

The volume of a cube is 275. The length of one side of the cube is?

∛275
275²
275 ÷ 3
None of these

اس سوال کو وضاحت کے ساتھ پڑھیں

Test Point Whatsapp Channel

All Rights Reserved © TestPointpk.com