find the value of x if 2(2^x - 3^x-1)=324
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siddhartharao77:
x = 5. Am i correct?
Answers
Answered by
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
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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