Question

If, 9^(x-1) = 3^(2x-1) - 486,
Then find the value of x.

Please Give Genuine Answer (Correct one) otherwise I will bock your Account as I am a Moderator in my Other I'd.

Answer 1

In the attachment I have answered this problem.

I hope this answer helps you

Answer 2

Given :   9ˣ⁻¹ = 3⁽²ˣ⁻¹⁾  - 486

To find : Value of x

Solution:

9ˣ⁻¹ = 3⁽²ˣ⁻¹⁾  - 486

=> (3²)ˣ⁻¹ = 3⁽²ˣ⁻¹⁾  - 486

=>  3²ˣ⁻² = 3⁽²ˣ⁻¹⁾  - 486

=> 3⁽²ˣ⁻¹⁾  -  3²ˣ⁻² =  486

=> 3. 3⁽²ˣ⁻²⁾  -  3²ˣ⁻² =  486

=> 2 * 3⁽²ˣ⁻²⁾  =  486

=> 3⁽²ˣ⁻²⁾  =  243

=> 3⁽²ˣ⁻²⁾  =  3⁵

=> 2x - 2 = 5

=> 2x = 7

=> x = 7/2

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