Question
Solve the equation
λ=tln(t)
Evaluate
t=λ1×ln(n×nt×1)
Simplify
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Evaluate
λ1×ln(n×nt×1)
Multiply the terms
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Multiply the terms
n×nt×1
Rewrite the expression
n×nt
Cancel out the common factor n
1×t
Multiply the terms
t
λ1×ln(t)
Multiply the terms
λln(t)
t=λln(t)
Swap the sides of the equation
λln(t)=t
Cross multiply
ln(t)=λt
Simplify the equation
ln(t)=tλ
Swap the sides of the equation
tλ=ln(t)
Divide both sides
ttλ=tln(t)
Solution
λ=tln(t)
Show Solution
