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Popular >

ln((e^{2x})/4)=1

Solution

ln (\frac{e ^{2 x}}{4}) = 1

Solution

x = \frac{ln ( 4 e )}{2}

+1

Decimal

x = 1.19314 \dots

Solution steps

ln (\frac{e ^{2 x}}{4}) = 1

Rewrite the equation with

e^{2 x} = u

ln (\frac{u}{4}) = 1

Solve

ln (\frac{u}{4}) = 1 : u = 4 e

u = 4 e

Substitute back

u = e^{2 x},

solve for

x

Solve

e^{2 x} = 4 e : x = \frac{ln ( 4 e )}{2}

x = \frac{ln ( 4 e )}{2}

Graph

Popular Examples

4^{x} + 2^{x} = 1

2^{x+1}\times 16^{2x+1}=3

2^{x + 1} \times 1 6^{2 x + 1} = 3

1024^{x+1}=16^5

102 4^{x + 1} = 1 6^{5}

solvefor x,f^{8x+11}=a^{9x+4}solve for

x, f^{8 x + 11} = a^{9 x + 4}

e^{x} = 21

Frequently Asked Questions (FAQ)

What is the answer to ln((e^{2x})/4)=1 ?
The answer to ln((e^{2x})/4)=1 is x=(ln(4e))/2