Question
Simplify the expression
iLn2XgH
Evaluate
Hua÷Luan÷Xing
Divide the terms
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Evaluate
Hua÷Luan
Rewrite the expression
LuanHua
Reduce the fraction
LanHa
Reduce the fraction
LnH
LnH÷Xing
Use the commutative property to reorder the terms
LnH÷iXng
Multiply by the reciprocal
LnH×iXng1
Multiply the terms
LniXngH
Solution
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Evaluate
LniXng
Use the commutative property to reorder the terms
iLnXng
Multiply the terms
iLn2Xg
iLn2XgH
Show Solution

Find the excluded values
L=0,u=0,a=0,n=0,X=0,g=0
Evaluate
Hua÷Luan÷Xing
To find the excluded values,set the denominators equal to 0
Luan=0Xng=0
Solve the equations
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Evaluate
Luan=0
Separate the equation into 4 possible cases
L=0u=0a=0n=0
Find the union
L=0a=0n=0u=0
L=0u=0a=0n=0Xng=0
Solve the equations
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Evaluate
Xng=0
Separate the equation into 3 possible cases
X=0n=0g=0
Find the union
X=0g=0n=0
L=0u=0a=0n=0X=0n=0g=0
Solution
L=0,u=0,a=0,n=0,X=0,g=0
Show Solution
