Math, asked by muskan256, 1 year ago

find the value of x if 2(2^x - 3^x-1)=324

Attachments:

siddhartharao77: x = 5. Am i correct?
muskan256: i don't know
muskan256: how can u solve
muskan256: i don't know what is the answer
siddhartharao77: Its ok
muskan256: tell me how can u solve
siddhartharao77: I will tell. I am busy in one more question.
muskan256: no first of all u give my answer because yesterday is my exam

Answers

Answered by shubhamjoshi033
20

Answer:

The value of x will be 5

Step-by-step explanation:

Given,

2( 3ˣ - 3ˣ⁻¹) = 324

=> ( 3ˣ - 3ˣ⁻¹) = 162

=> ( 3ˣ - 3ˣ/3) = 162

=> 3*3ˣ - 3ˣ = 162 x 3 = 486

=> 2*3ˣ = 486

=> 3ˣ = 486/2 = 243

=> 3ˣ = 3⁵

=> x = 5

Hence the value of x will be 5

Check

2(3⁵ - 3⁵⁻¹)

= 2(243 - 81)

= 2(162)

= 324

Answered by architakhare7
0

Answer:

The value of x will be 5

Step-by-step explanation:

Given,

2( 3ˣ - 3ˣ⁻¹) = 324

=> ( 3ˣ - 3ˣ⁻¹) = 162

=> ( 3ˣ - 3ˣ/3) = 162

=> 3*3ˣ - 3ˣ = 162 x 3 = 486

=> 2*3ˣ = 486

=> 3ˣ = 486/2 = 243

=> 3ˣ = 3⁵

=> x = 5

Hence the value of x will be 5

Check

2(3⁵ - 3⁵⁻¹)

= 2(243 - 81)

= 2(162)

= 324

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