Solve for c log of 1/c=2

Math
log(1c)=2
Rewrite log(1c)=2 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then logb(x)=y is equivalent to by=x.
102=1c
Solve for c
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Raise 10 to the power of 2.
100=1c
Rewrite the equation as 1c=100.
1c=100
Solve for c.
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Multiply each term by c and simplify.
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Multiply each term in 1c=100 by c.
1c⋅c=100⋅c
Cancel the common factor of c.
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Cancel the common factor.
1c⋅c=100⋅c
Rewrite the expression.
1=100⋅c
1=100c
1=100c
Rewrite the equation as 100c=1.
100c=1
Divide each term by 100 and simplify.
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Divide each term in 100c=1 by 100.
100c100=1100
Cancel the common factor of 100.
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Cancel the common factor.
100c100=1100
Divide c by 1.
c=1100
c=1100
c=1100
c=1100
c=1100
The result can be shown in multiple forms.
Exact Form:
c=1100
Decimal Form:
c=0.01
Solve for c log of 1/c=2

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