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Popular >

3e^{3t}-2=0

Solution

3 e^{3 t} - 2 = 0

Solution

t = \frac{ln ( \frac{2}{3} )}{3}

+1

Decimal Notation

t = - 0.13515 \dots

Solution steps

3 e^{3 t} - 2 = 0

Add

2

to both sides

3 e^{3 t} - 2 + 2 = 0 + 2

Simplify

3 e^{3 t} = 2

Divide both sides by

3

e^{3 t} = \frac{2}{3}

Apply exponent rules

3 t = ln (\frac{2}{3})

Solve

3 t = ln (\frac{2}{3}) : t = \frac{ln ( \frac{2}{3} )}{3}

t = \frac{ln ( \frac{2}{3} )}{3}

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m, a^{m} = \frac{1}{a}

3^{2x-3}=27^{((x+1))/2}

3^{2 x - 3} = 2 7^{\frac{( x + 1 )}{2}}

Frequently Asked Questions (FAQ)

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