Question

find x if 2 power 2 x minus 1 equals to 8 x minus 3​

Answer 1

Step-by-step explanation:

question can be written as

2^2-1=8x-3

4-1=8x-3

3=8x-3

8x=9

therefore,X=9/8

Answer 2

The value of x = 8

Given :

$\displaystyle \sf{ {2}^{2x - 1} = {8}^{x - 3} }$

To find :

The value of x

Solution :

Step 1 of 2 :

Write down the given equation

Here the given equation is

$\displaystyle \sf{ {2}^{2x - 1} = {8}^{x - 3} }$

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ {2}^{2x - 1} = {8}^{x - 3} }$

$\displaystyle \sf{ \implies {2}^{2x - 1} = {( {2}^{3} )}^{x - 3} }$

$\displaystyle \sf{ \implies {2}^{2x - 1} = {2}^{3(x - 3)} }$

$\displaystyle \sf{ \implies {2}^{2x - 1} = {2}^{3x - 9} }$

$\displaystyle \sf{ \implies 2x - 1 = 3x - 9}$

$\displaystyle \sf{ \implies 2x - 3x = - 9 + 1}$

$\displaystyle \sf{ \implies - x = - 8}$

$\displaystyle \sf{ \implies x = 8}$

The value of x = 8