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Popular >

e^{3x-4}*e^{-x}=4e

Solution

e^{3 x - 4} \cdot e^{- x} = 4 e

Solution

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

+1

Decimal Notation

x = 3.19314 \dots

Solution steps

e^{3 x - 4} e^{- x} = 4 e

Apply exponent rules

3 x - 4 - x = ln (4 e)

Solve

3 x - 4 - x = ln (4 e) : x = \frac{ln ( 4 e ) + 4}{2}

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

Popular Examples

1 - 3 e^{- 3 x} = 0

solvefor y,e^{5x-y}=3e^{3x}solve for

y, e^{5 x - y} = 3 e^{3 x}

4^x-3\times 2^x+2=0

4^{x} - 3 \times 2^{x} + 2 = 0

(0.5)^{2x}=2^{1-3x}

(0.5)^{2 x} = 2^{1 - 3 x}

3^{2x+1}+4(3^x)-15=0

3^{2 x + 1} + 4 (3^{x}) - 15 = 0

Frequently Asked Questions (FAQ)

What is the answer to e^{3x-4}*e^{-x}=4e ?
The answer to e^{3x-4}*e^{-x}=4e is x=(ln(4e)+4)/2