emileewhoosh
emileewhoosh emileewhoosh
  • 12-05-2020
  • Mathematics
contestada

Solve for x: 3ˣ⁺¹ = 9ˣ⁻²

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AnkleBreaker05
AnkleBreaker05 AnkleBreaker05
  • 12-05-2020

I'll teach you how to solve 3ˣ⁺¹ = 9ˣ⁻²

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3ˣ⁺¹ = 9ˣ⁻²

Convert 9^x-2 to base 3:

3^x+1=(3^2)^x-2

Apply exponent rule:

3^x+1=3^2(x-2)

x+1=2(x-2)

Solve x+1=2(x-2):

Expand 2(x-2):

x+1=2x-4

Subtract 1 from both sides:

x+1-1=2x-4-1

Simplify:

x=2x-5

Subtract 2x from both sides:

x-2x=2x-5-2x

Simplify:

-x=-5

Divide both sides by -1:

-x/-1=-5/-1

Simplify:

x=5

Your Answer Is x=5

plz mark me as brainliest :)

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