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Popular >

6e^{4x}-2=3

Solution

6 e^{4 x} - 2 = 3

Solution

x = \frac{ln ( \frac{5}{6} )}{4}

+1

Decimal Notation

x = - 0.04558 \dots

Solution steps

6 e^{4 x} - 2 = 3

Move

2

to the right side

6 e^{4 x} = 5

Divide both sides by

6

e^{4 x} = \frac{5}{6}

Apply exponent rules

4 x = ln (\frac{5}{6})

Solve

4 x = ln (\frac{5}{6}) : x = \frac{ln ( \frac{5}{6} )}{4}

x = \frac{ln ( \frac{5}{6} )}{4}

Popular Examples

5^{3x}=25^{x-1}

5^{3 x} = 2 5^{x - 1}

3 \cdot 7^{x} = 10.48

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

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

8^{x} = 0.5

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

Frequently Asked Questions (FAQ)

What is the answer to 6e^{4x}-2=3 ?
The answer to 6e^{4x}-2=3 is x=(ln(5/6))/4