108k views
3 votes
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

2 Answers

2 votes
I hope this helps you
A student is solving the equation 4^x–1 = 64^x+3. Step 1: 4^x – 1 = 64^x + ^3 Step-example-1
User Vaske
by
7.7k points
6 votes
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
User Eveleen
by
6.9k points