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draReianCatha
Answered

A student is solving the equation 4^x–1 = 64^x+3.

Step 1: 4^x – 1 = 64^x + ^3

Step 2: 4^x – 1 = (43)^x + ^3

Step 3: 4^x – 1 = 43^x + ^9

Which is the next step?

4 = 3x + 9

x - 1 = -(3x + 9)

x - 1 = x + 3

x - 1 = 3x + 9

Verified Answer :

I hope this helps you

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JcAlmighty

The answer is x - 1 = 3x + 9

All steps are:
Step 1: 4ˣ⁻¹ = 64ˣ⁺³ 
Step 2: 4ˣ⁻¹ = (4³)ˣ⁺³ 
Step 3: 4ˣ⁻¹ = 4³ˣ⁺⁹ 
Step 4: x - 1 = 3x + 9
Step 5: x - 3x = 1 + 9
Step 6: -2x = 10
Step 7: x = 10/-2
Step 8: x = -5