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Popular >

2=12e^{0.7x}

Solution

2 = 12 \cdot e^{0.7 \cdot x}

Solution

x = - \frac{ln ( 6 )}{0.7}

+1

Decimal Notation

x = - 2.55965 \dots

Solution steps

2 = 12 e^{0.7 x}

Switch sides

12 e^{0.7 x} = 2

Divide both sides by

12

e^{0.7 x} = \frac{1}{6}

Apply exponent rules

0.7 x = ln (\frac{1}{6})

Solve

0.7 x = ln (\frac{1}{6}) : x = - \frac{ln ( 6 )}{0.7}

x = - \frac{ln ( 6 )}{0.7}

Popular Examples

7^{2x+3}*49=7^{4x}

7^{2 x + 3} \cdot 49 = 7^{4 x}

5 = (2.82)^{t}

(4e^{3x}-5)/(e^{3x)-1}=3

\frac{4 e ^{3 x} - 5}{e ^{3 x} - 1} = 3

350000=400*(1-e^{-0.15t})

350000 = 400 \cdot (1 - e^{- 0.15 t})

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

Frequently Asked Questions (FAQ)

What is the answer to 2=12*e^{0.7*x} ?
The answer to 2=12*e^{0.7*x} is x=-(ln(6))/(0.7)