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

Raise 10 to the power of 2.

100=1c

Rewrite the equation as 1c=100.

1c=100

Solve for c.

Multiply each term by c and simplify.

Multiply each term in 1c=100 by c.

1c⋅c=100⋅c

Cancel the common factor of c.

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.

Divide each term in 100c=1 by 100.

100c100=1100

Cancel the common factor of 100.

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