Solve (\pi ^(2)⋅ log_(e) (10)^(2))/((x/( log_(e) (10)

Evaluate

(π^{2} l o g_{e} \times 1 0^{2}) \div ((x \div (l o g_{e} \times 10 - l o g_{π} \times 10)) l o g_{e} π)

Dividing by a^{n} is the same as multiplying by a^{- n}

\frac{π ^{2} l o g _{e} \times 1 0 ^{2} π ^{- 1}}{( x \div ( l o g _{e} \times 10 - l o g _{π} \times 10 ) ) l o g _{e}}

Use the commutative property to reorder the terms

\frac{π ^{2} l o g _{e} \times 1 0 ^{2} π ^{- 1}}{( x \div ( 10 l o g _{e} - l o g _{π} \times 10 ) ) l o g _{e}}

Use the commutative property to reorder the terms

\frac{π ^{2} l o g _{e} \times 1 0 ^{2} π ^{- 1}}{( x \div ( 10 l o g _{e} - 10 l o g _{π} ) ) l o g _{e}}

Rewrite the expression

\frac{π ^{2} l o g _{e} \times 1 0 ^{2} π ^{- 1}}{\frac{x}{10 l o g _{e} - 10 l o g _{π}} \times l o g _{e}}

Reduce the fraction

\frac{π ^{2} o g _{e} \times 1 0 ^{2} π ^{- 1}}{\frac{x}{10 l o g _{e} - 10 l o g _{π}} \times o g _{e}}

Reduce the fraction

\frac{π ^{2} g _{e} \times 1 0 ^{2} π ^{- 1}}{\frac{x}{10 l o g _{e} - 10 l o g _{π}} \times g _{e}}

Reduce the fraction

\frac{π ^{2} \times 1 0 ^{2} π ^{- 1}}{\frac{x}{10 l o g _{e} - 10 l o g _{π}}}

Multiply

More Steps

\frac{100 π}{\frac{x}{10 l o g _{e} - 10 l o g _{π}}}

Multiply by the reciprocal

100 π \times \frac{10 l o g _{e} - 10 l o g _{π}}{x}

Multiply the terms

\frac{100 π ( 10 l o g _{e} - 10 l o g _{π} )}{x}

Solution

More Steps

\frac{1000 π l o g _{e} - 1000 π l o g _{π}}{x}

Simplify the expression