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Popular >

5e^x-2e^{2x}=0

Solution

5 e^{x} - 2 e^{2 x} = 0

Solution

x = ln (5) - ln (2)

+1

Decimal

x = 0.91629 \dots

Solution steps

5 e^{x} - 2 e^{2 x} = 0

Add

2 e^{2 x}

to both sides

5 e^{x} - 2 e^{2 x} + 2 e^{2 x} = 0 + 2 e^{2 x}

Simplify

5 e^{x} = 2 e^{2 x}

Apply exponent rules

ln (5) + x = ln (2) + 2 x

Solve

ln (5) + x = ln (2) + 2 x : x = ln (5) - ln (2)

x = ln (5) - ln (2)

Graph

Popular Examples

solvefor y,xy-e^x+e^y=0 solve for

y, x y - e^{x} + e^{y} = 0

(\frac{1}{27})^{x} = 9

solvefor y,x=4^y solve for

y, x = 4^{y}

roots t^ne^{at}roots

t^{n} e^{a t}

9^{-x-1}\times 9^{3-3x}=81

9^{- x - 1} \times 9^{3 - 3 x} = 81

Frequently Asked Questions (FAQ)

What is the answer to 5e^x-2e^{2x}=0 ?
The answer to 5e^x-2e^{2x}=0 is x=ln(5)-ln(2)