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Popular >

3e^{3x+4}-8=e

Solution

3 e^{3 x + 4} - 8 = e

Solution

x = \frac{ln ( \frac{e + 8}{3} ) - 4}{3}

+1

Decimal

x = - 0.90888 \dots

Solution steps

3 e^{3 x + 4} - 8 = e

Move

8

to the right side

3 e^{3 x + 4} = e + 8

Divide both sides by

3

e^{3 x + 4} = \frac{e + 8}{3}

Apply exponent rules

3 x + 4 = ln (\frac{e + 8}{3})

Solve

3 x + 4 = ln (\frac{e + 8}{3}) : x = \frac{ln ( \frac{e + 8}{3} ) - 4}{3}

x = \frac{ln ( \frac{e + 8}{3} ) - 4}{3}

Graph

Popular Examples

solvefor x,3^{4x-5}=2^{x+3}solve for

x, 3^{4 x - 5} = 2^{x + 3}

5^{x+3}=(1/3)^{3-x}

5^{x + 3} = (\frac{1}{3})^{3 - x}

3^{1 - 2 x} = 4 x

(1/25)^{2x+3}=125^{9x+8}

(\frac{1}{25})^{2 x + 3} = 12 5^{9 x + 8}

5^{t} = 1637

Frequently Asked Questions (FAQ)

What is the answer to 3e^{3x+4}-8=e ?
The answer to 3e^{3x+4}-8=e is x=(ln((e+8)/3)-4)/(3)