Question
Solve the equation
Solve for x
Solve for gπ
Solve for n
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x=9125000πnl−125000πogπl
Evaluate
(π2ln×1002)÷((x÷(ln×100−logπ×100))lnπ)=72
Simplify
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Evaluate
(π2ln×1002)÷((x÷(ln×100−logπ×100))lnπ)
Dividing by an is the same as multiplying by a−n
(x÷(ln×100−logπ×100))lnπ2ln×1002π−1
Use the commutative property to reorder the terms
(x÷(100ln−logπ×100))lnπ2ln×1002π−1
Use the commutative property to reorder the terms
(x÷(100ln−100logπ))lnπ2ln×1002π−1
Rewrite the expression
100ln−100logπx×lnπ2ln×1002π−1
Reduce the fraction
100ln−100logπx×nπ2n×1002π−1
Reduce the fraction
100ln−100logπxπ2×1002π−1
Multiply
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Multiply the terms
π2×1002π−1
Multiply the terms with the same base by adding their exponents
π2−1×1002
Subtract the numbers
π×1002
Evaluate the power
π×10000
Multiply the numbers
10000π
100ln−100logπx10000π
Multiply by the reciprocal
10000π×x100ln−100logπ
Multiply the terms
x10000π(100ln−100logπ)
x10000π(100ln−100logπ)=72
Rewrite the expression
x1000000πln−1000000πlogπ=72
Cross multiply
1000000πln−1000000πlogπ=x×72
Simplify the equation
1000000πln−1000000πlogπ=72x
Rewrite the expression
8(125000πnl−125000πogπl)=8×9x
Evaluate
125000πnl−125000πogπl=9x
Swap the sides of the equation
9x=125000πnl−125000πogπl
Divide both sides
99x=9125000πnl−125000πogπl
Solution
x=9125000πnl−125000πogπl
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