2ˣ + 2ˣ + 2ˣ = 192. Find x.

Solution:

Given, the expression is 2ˣ + 2ˣ + 2ˣ = 192.

We have to find the value of x.

Considering 2ˣ + 2ˣ + 2ˣ,

2ˣ + 2ˣ + 2ˣ = 3(2ˣ)

Now, 3(2ˣ) = 192

2ˣ = 192/3

2ˣ = 64

We know, 64 = 2⁶

Now, 2ˣ = 2⁶

On comparing the powers,

x = 6

Therefore, the value of x is 6.

✦ Try This: 3ˣ + 3ˣ + 3ˣ = 180. Find x.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 177(3)

2ˣ + 2ˣ + 2ˣ = 192. Find x.

Summary:

2ˣ + 2ˣ + 2ˣ = 192. The value of x is 6 using the laws of exponents

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