elivinarao elivinarao
  • 23-06-2020
  • Mathematics
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Which equation is equivalent to 2^4x = 8^x-3?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 23-06-2020

Answer:

x=-3

Step-by-step explanation:

2^4x = 8^x-3

writing 8 as 2^3

2^4x = 2^3^x-3

We know a^b^c = a^(b*c)

2^4x = 2^(2*(x-3))

2^4x = 2^(2x-6)

The bases are the same so the exponents are the same

4x = 2x-6

Subtract 2x from each side

4x-2x= 2x-6-2x

2x=- 6

Divide by 2

2x/2 = -6/2

x = -3

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