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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
23x = 82x + 1. Find x.
Solution:
Given, the expression is 23x = 82x + 1.
We have to find the value of x.
Considering 82x + 1,
We know, 8 = 2³
82x + 1 = (2³)2x + 1
Using law of exponents,
(am)n = amn
= 26x + 3
Now, 23x = 26x + 3
On comparing the powers,
3x = 6x + 3
3x - 6x = 3
-3x = 3
x = -3/3
x = -1
Therefore, the value of x is -1.
✦ Try This: 33x = 92x + 1. Find x.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12
NCERT Exemplar Class 8 Maths Chapter 8 Problem 177(5)
23x = 82x + 1. Find x.
Summary:
23x = 82x + 1. The value of x is -1 using the laws of exponents.
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