Solve for y 25^(4y-1)=5

Math
254y-1=5
Create equivalent expressions in the equation that all have equal bases.
52(4y-1)=51
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2(4y-1)=1
Solve for y.
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Divide each term by 2 and simplify.
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Divide each term in 2(4y-1)=1 by 2.
2(4y-1)2=12
Cancel the common factor of 2.
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Cancel the common factor.
2(4y-1)2=12
Divide 4y-1 by 1.
4y-1=12
4y-1=12
4y-1=12
Move all terms not containing y to the right side of the equation.
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Add 1 to both sides of the equation.
4y=12+1
Write 1 as a fraction with a common denominator.
4y=12+22
Combine the numerators over the common denominator.
4y=1+22
Add 1 and 2.
4y=32
4y=32
Divide each term by 4 and simplify.
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Divide each term in 4y=32 by 4.
4y4=32⋅14
Cancel the common factor of 4.
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Cancel the common factor.
4y4=32⋅14
Divide y by 1.
y=32⋅14
y=32⋅14
Multiply 32⋅14.
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Multiply 32 and 14.
y=32⋅4
Multiply 2 by 4.
y=38
y=38
y=38
y=38
The result can be shown in multiple forms.
Exact Form:
y=38
Decimal Form:
y=0.375
Solve for y 25^(4y-1)=5

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