Please solve i got 3 but i’m not sure
1 answer:
Short answer x = 11/3
Step One
Change 64 to a power of 4
Step Two
Include 2x - 4 as part of your power. So far you are only working on the right side of the problem.
Step Three
The bases are the same so you can equate the powers.
2x + 6 = 4(2x - 4)
Step Four
Remove the brackets on the right.
2x + 6 = 8x - 16
Step five
Collect like terms. Begin by adding 14 to both sides.
2x + 6 + 16 = 8x Subtract 2x from both sides.
22 = 8x - 2x
22 = 6x Divide by 6
22/6 = x
x = 3.666333 or 3 2/3 or 11/3
Check
Left hand side
4^(2*11/3 + 6)
4^(22/3 + 6)
4^(22/3 + 18/3)
4^(40/3)
Right Side
64^(2*11/3 - 4)
64^(22/3 - 4)
64^(22/3 - 12/3)
64^(10/3) There is something we can do without figuring out what this is.
64 = 4^4
4^(4*10/3)
4^(40/3) which is the same as the left side
Answer x = 11/3 <<<<<
Step One
Change 64 to a power of 4
Step Two
Include 2x - 4 as part of your power. So far you are only working on the right side of the problem.
Step Three
The bases are the same so you can equate the powers.
2x + 6 = 4(2x - 4)
Step Four
Remove the brackets on the right.
2x + 6 = 8x - 16
Step five
Collect like terms. Begin by adding 14 to both sides.
2x + 6 + 16 = 8x Subtract 2x from both sides.
22 = 8x - 2x
22 = 6x Divide by 6
22/6 = x
x = 3.666333 or 3 2/3 or 11/3
Check
Left hand side
4^(2*11/3 + 6)
4^(22/3 + 6)
4^(22/3 + 18/3)
4^(40/3)
Right Side
64^(2*11/3 - 4)
64^(22/3 - 4)
64^(22/3 - 12/3)
64^(10/3) There is something we can do without figuring out what this is.
64 = 4^4
4^(4*10/3)
4^(40/3) which is the same as the left side
Answer x = 11/3 <<<<<
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