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Popular >

0=2e^{2x}-3e^{1-3x}

Solution

0 = 2 e^{2 x} - 3 e^{1 - 3 x}

Solution

x = \frac{1 + ln ( 3 ) - ln ( 2 )}{5}

+1

Decimal

x = 0.28109 \dots

Solution steps

0 = 2 e^{2 x} - 3 e^{1 - 3 x}

Add

3 e^{1 - 3 x}

to both sides

0 + 3 e^{1 - 3 x} = 2 e^{2 x} - 3 e^{1 - 3 x} + 3 e^{1 - 3 x}

Simplify

3 e^{1 - 3 x} = 2 e^{2 x}

Apply exponent rules

ln (3) + 1 - 3 x = ln (2) + 2 x

Solve

ln (3) + 1 - 3 x = ln (2) + 2 x : x = \frac{1 + ln ( 3 ) - ln ( 2 )}{5}

x = \frac{1 + ln ( 3 ) - ln ( 2 )}{5}

Graph

Popular Examples

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256^{3x+3}=1024^{2x+2}

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Frequently Asked Questions (FAQ)

What is the answer to 0=2e^{2x}-3e^{1-3x} ?
The answer to 0=2e^{2x}-3e^{1-3x} is x=(1+ln(3)-ln(2))/5