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Popular >

4e^{2x}-3=2

Solution

4 e^{2 x} - 3 = 2

Solution

x = \frac{ln ( \frac{5}{4} )}{2}

+1

Decimal Notation

x = 0.11157 \dots

Solution steps

4 e^{2 x} - 3 = 2

Move

3

to the right side

4 e^{2 x} = 5

Divide both sides by

4

e^{2 x} = \frac{5}{4}

Apply exponent rules

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

Solve

2 x = ln (\frac{5}{4}) : x = \frac{ln ( \frac{5}{4} )}{2}

x = \frac{ln ( \frac{5}{4} )}{2}

Popular Examples

e^x*(1+e^x)= 3/4

e^{x} \cdot (1 + e^{x}) = \frac{3}{4}

2187 = 2^{x}

1. 5^{x} = 10

16^x+20^x-25^x=0

1 6^{x} + 2 0^{x} - 2 5^{x} = 0

2 = 3^{x}

Frequently Asked Questions (FAQ)

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