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Solve 64^4x-8 <256^2x+6

User Bensal
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1 Answer

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pls give thanks bc its correct

Answer:

x< 7/8355840

Explanation:

64

4

x−8<256

2

x+6

Calculate 64 to the power of 4 and get 16777216.

16777216x−8<256

2

x+6

Calculate 256 to the power of 2 and get 65536.

16777216x−8<65536x+6

Subtract 65536x from both sides.

16777216x−8−65536x<6

Combine 16777216x and −65536x to get 16711680x.

16711680x−8<6

Add 8 to both sides.

16711680x<6+8

Add 6 and 8 to get 14.

16711680x<14

Divide both sides by 16711680. Since 16711680 is positive, the inequality direction remains the same.

x<

16711680

14

Reduce the fraction

x< 14/16711680

to lowest terms by extracting and canceling out 2.

x< 7/8355840

User Topched
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