What is the answer to solvefor x,2e^{2x}-e^x=0 ?

The answer to solvefor x,2e^{2x}-e^x=0 is x=-ln(2)

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solvefor x,2e^{2x}-e^x=0

solve for

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

x = - ln (2)

Decimal Notation

x = - 0.69314 \dots

Solution steps

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

Add

e^{x}

to both sides

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

Simplify

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

Apply exponent rules

ln (2) + 2 x = x

Solve

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

x = - ln (2)

300 \cdot 2^{0.02 x} = 9000

87.88 e^{3 r} = 263.64

7 \cdot 1 0^{x} - 49 = 0

e^{2 x} - 2 \cdot e^{x} - 3 = 0

4^{3 X - 5} = 64

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