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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Solve for x, 64x= 16(x-1)
Solution:
Let us solve the given equation 64x= 16(x-1) using the exponent rule.
Step 1:
Make equivalent expressions using the equal base.
⇒ 64x= 16(x -1) can be written using equal base as:
(4)3x = (4) 2(x -1)
Since the base of both the equations are equal.
Step 2:
Use the exponent rule xa = xb,
then a = b,
Where x = 4, a = 3x and b = 2(x -1)
3x = 2(x - 1)
3x = 2x - 2
Step 3:
Subtract 2x from both sides.
3x - 2x = - 2
X = - 2
Thus, the value of x which satisfies the equation 64x= 16(x-1) is - 2.
Summary:
Solve for x, 64x= 16(x-1)
The value of x is - 2 for the equation 64x= 16(x-1).
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