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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 +
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Feb 7, 2017
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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
Mathematics
high-school
Tun Zarni Kyaw
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Tun Zarni Kyaw
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I hope this helps you
Vaske
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Feb 9, 2017
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Vaske
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The answer is
x - 1 = 3x + 9
All steps are:
Step 1: 4ˣ⁻¹ = 64ˣ⁺³
Step 2: 4
ˣ⁻¹ = (4³)ˣ⁺³
Step 3: 4
ˣ⁻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
Eveleen
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Feb 13, 2017
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Eveleen
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