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Popular >

2e^{3x}-1=5

Solution

2 e^{3 x} - 1 = 5

Solution

x = \frac{ln ( 3 )}{3}

+1

Decimal Notation

x = 0.36620 \dots

Solution steps

2 e^{3 x} - 1 = 5

Move

1

to the right side

2 e^{3 x} = 6

Divide both sides by

2

e^{3 x} = 3

Apply exponent rules

3 x = ln (3)

Solve

3 x = ln (3) : x = \frac{ln ( 3 )}{3}

x = \frac{ln ( 3 )}{3}

Popular Examples

e^{2 x + 3} = 4

solvefor x,8^{-x}= 1/2 solve for

x, 8^{- x} = \frac{1}{2}

e^{x+1}+e^{x+2}= 1/pi

e^{x + 1} + e^{x + 2} = \frac{1}{π}

3^{2x}-4(3^{x+1})+27=0

3^{2 x} - 4 (3^{x + 1}) + 27 = 0

((1+0.18)^n-1)/(0.18)=10

\frac{( 1 + 0.18 ) ^{n} - 1}{0.18} = 10

Frequently Asked Questions (FAQ)

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