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Popular >

2e^{3x-2}+4=16

Solution

2 e^{3 x - 2} + 4 = 16

Solution

x = \frac{ln ( 6 ) + 2}{3}

+1

Decimal Notation

x = 1.26391 \dots

Solution steps

2 e^{3 x - 2} + 4 = 16

Move

4

to the right side

2 e^{3 x - 2} = 12

Divide both sides by

2

e^{3 x - 2} = 6

Apply exponent rules

3 x - 2 = ln (6)

Solve

3 x - 2 = ln (6) : x = \frac{ln ( 6 ) + 2}{3}

x = \frac{ln ( 6 ) + 2}{3}

Popular Examples

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

9^{x+1}-3^x=6534

9^{x + 1} - 3^{x} = 6534

\sqrt[5]{25^2}=5^p

6^{-x}*4^3= 16/9

6^{- x} \cdot 4^{3} = \frac{16}{9}

5^{x + 1} = \frac{1}{625}

Frequently Asked Questions (FAQ)

What is the answer to 2e^{3x-2}+4=16 ?
The answer to 2e^{3x-2}+4=16 is x=(ln(6)+2)/3