# Which equation is equivalent to 2^4x=8^x-3?

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## Question:

Which equation is equivalent to 2^4x=8^x-3?

2x^4=2^(2x-3)
2x^4=2^(2x-6)
2x^4=2^(3x-3)
2x^4=2^(3x-9)

The equivalent expression of 2^4x=8^x-3 is  2^4x=2^(3x-9)

### How to determine the equivalent equation?

The equation is given as:

2^4x=8^x-3

Express 8 as 2^3

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

Open the bracket

2^4x=2^(3x-9)

Hence, the equivalent expression of 2^4x=8^x-3 is  2^4x=2^(3x-9)