solve for X if (2) x-1 egual to 1/64
Answers
Answer:
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Step-by-step explanation:
Popular Problems Algebra Solve for x 2^(x-1)=1/64
2
x
−
1
=
1
64
Raise
64
to the power of
1
.
2
x
−
1
=
1
64
1
Move
64
1
to the numerator using the negative exponent rule
1
b
n
=
b
−
n
.
2
x
−
1
=
64
−
1
Create equivalent expressions in the equation that all have equal bases.
2
x
−
1
=
2
−
6
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x
−
1
=
−
6
Move all terms not containing
x
to the right side of the equation.
Step-by-step explanation:
2x−1=164
Raise 64to the power of 1.
2x−1=1641
Move 641 to the numerator using the negative exponent rule
1bn=b−n.
2x−1=64−1
Create equivalent expressions in the equation that all have equal bases.
2x−1=2−6
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x−1=−6
Move all terms not containing x
to the right side of the equation.
x=−5