Solve 64^x = 16^(x−1). (1 point) Select one: a. x = −2 b. x = −1 c. x = negative 1 over 4 d. x = negative 1 over 3
2 answers:
Answer:

Step-by-step explanation:
64^x = 16^(x-1)
Rewrite the bases with base of 4.
(4^3)^x = (4^2)^(x-1)
Multiply exponents.
4^(3x) = 4^(2(x-1))
Cancel same bases.
3x = 2(x-1)
Expand brackets.
3x = 2x - 2
Subtract 2x from both sides.
x = -2
Answer:
a. x = -2
Step-by-step explanation:
64ˣ = 16⁽ˣ⁻¹)
64 = 4³
16 = 4²
4³⁽ˣ⁾ = 4²⁽ˣ⁻¹)
4³ˣ = 4²ˣ⁻²
3x = 2x - 2
x = -2
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Answer:
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