Solve for y 256=4^(2y-6)

Math
256=42y-6
Rewrite the equation as 42y-6=256.
42y-6=256
Create equivalent expressions in the equation that all have equal bases.
42y-6=44
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2y-6=4
Solve for y.
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Move all terms not containing y to the right side of the equation.
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Add 6 to both sides of the equation.
2y=4+6
Add 4 and 6.
2y=10
2y=10
Divide each term by 2 and simplify.
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Divide each term in 2y=10 by 2.
2y2=102
Cancel the common factor of 2.
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Cancel the common factor.
2y2=102
Divide y by 1.
y=102
y=102
Divide 10 by 2.
y=5
y=5
y=5
Solve for y 256=4^(2y-6)

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