# Solve the logarithmic equation. Express all solutions in exact form. 3 In x =12?

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• Como
Lv 7
6 months ago

ln x = 4

x = e^4

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• Mike G
Lv 7
6 months ago

ln(x) = 4

x = e^4

________

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• D g
Lv 7
6 months ago

basically what you do to one side you do to the other

so after you have ln x = 4

you see ln x on one side you need the opposite function to ln x that is e ^x

if you take e^{ln x} you get x

so thats how all those got the answer x = e^4

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• 6 months ago

ln(x) = 4 =>

x = e^4

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• ?
Lv 7
6 months ago

3 ln x = 12 ⇒

ln x³ = 12 ⇒

e¹² = x³

x³ = 162754.79141900392080800520489849

x = 54.598150033144239078110261202861.................ANS (This equals e⁴)

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• 6 months ago

3 * ln(x) = 12

ln(x) = 4

x = e^4

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