9^x-1=27^-x+2

Ayaana Buck

Ayaana Buck

Answered question

2021-02-08

9x1=27x+2

Answer & Explanation

diskusje5

diskusje5

Skilled2021-02-09Added 82 answers

We are given: 9x1=27x+2
Assign a power of 3 to each base: (32)x1=(33)x+2
Use the rule: (am)n=amn 32(x1)=32(x+2)
Equate the exponents: 2(x1)=3(x+2)
Solve for x:
2x2=3x+8
2x=3x+8
5x=8
x=85 or 1.6

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

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