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Popular >

3e^{2x-3}-4=78

Solution

3 e^{2 x - 3} - 4 = 78

Solution

x = \frac{ln ( \frac{82}{3} ) + 3}{2}

+1

Decimal Notation

x = 3.15405 \dots

Solution steps

3 e^{2 x - 3} - 4 = 78

Move

4

to the right side

3 e^{2 x - 3} = 82

Divide both sides by

3

e^{2 x - 3} = \frac{82}{3}

Apply exponent rules

2 x - 3 = ln (\frac{82}{3})

Solve

2 x - 3 = ln (\frac{82}{3}) : x = \frac{ln ( \frac{82}{3} ) + 3}{2}

x = \frac{ln ( \frac{82}{3} ) + 3}{2}

Popular Examples

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

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

5^{x} = 12 5^{x + 1}

solvefor y,x=1-e^{-λ*y}solve for

y, x = 1 - e^{- λ \cdot y}

5700=3e^{0.8x}+1

5700 = 3 e^{0.8 x} + 1

2*3^{1-x}+3^{x-1}=3^x

2 \cdot 3^{1 - x} + 3^{x - 1} = 3^{x}

Frequently Asked Questions (FAQ)

What is the answer to 3e^{2x-3}-4=78 ?
The answer to 3e^{2x-3}-4=78 is x=(ln(82/3)+3)/2