Question

Pls help me with this question

Answer 1

Answer:

option C, x=1

Step-by-step explanation:

$2^{9x-3} = 8^{3-x}$

$2^{9x-3} = (2^3)^{3-x}$

$2^{9x-3} = 2^{9-3x}$

cut 2 from LHS and RHS  you will get,

9x-3 = 9-3x

9x + 3x = 9 + 3

12x = 12

x = 12/12

x = 1

therefore, option C is the correct option

hope it helps you!

Answer 2

Answer:

$\huge{ \boxed{ \bold{ \tt{x = 1}}}}$

Option C is correct.

Step-by-step explanation:

$\text{First ,\: let's \: know \: about \: exponential \: equation} :$

Exponential Equation

An equation in which variables appears as an exponent of a base is known as exponential equation. The following axioms are useful while solving the exponential equations :

• If $\sf{ {a}^{x} = {a}^{b} }$ , then x = b
• If aˣ = 1 , then aˣ = a⁰ and x = 0

Thus , while solving an exponential equation, we should simplify the equation till the equation is obtained in the form $\sf{ {a}^{x} = {a}^{b}}$ or aˣ = 1 .

Now, let's start to solve :

$\sf{ {2}^{(9x - 3)} = {8}^{( 3 - x)}}$

➸ $\sf{ {2}^{9x - 3} = {2}^{3(3 - x)} }$

➸ $\sf{ {2}^{9x - 3} = {2}^{9 - 3x}}$

➸ $\sf{ \cancel{2} ^{ \: 9x - 3} = \cancel{2} ^{ \: 9 - 3x} }$

➸ $\sf{9x - 3 = 9 - 3x}$

➸ $\sf{9x + 3x = 9 + 3}$

➸ $\sf{12x = 12}$

➸ $\sf{ \frac{12x}{12} = \frac{12}{12}}$

➸ $\boxed{ \sf{x = 1}}$

The value of x is 1 .

Hope I helped!

Best regards! :D

~$\text{TheAnimeGirl}$