What is the answer to 320000=250342e^{0.012x} ?

The answer to 320000=250342e^{0.012x} is x=(ln(160000/125171))/(0.012)

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320000=250342e^{0.012x}

320000 = 250342 e^{0.012 x}

x = \frac{ln ( \frac{160000}{125171} )}{0.012}

Decimal Notation

x = 20.45775 \dots

Solution steps

320000 = 250342 e^{0.012 x}

Switch sides

250342 e^{0.012 x} = 320000

Divide both sides by

250342

e^{0.012 x} = \frac{160000}{125171}

Apply exponent rules

0.012 x = ln (\frac{160000}{125171})

Solve

0.012 x = ln (\frac{160000}{125171}) : x = \frac{ln ( \frac{160000}{125171} )}{0.012}

x = \frac{ln ( \frac{160000}{125171} )}{0.012}

3^{5 x + 34} = 81

0 = \frac{4 e ^{x}}{( 4 + e ^{x} ) ^{2}}

6^{a} \cdot 2^{b} = 3^{x}, 2^{a + b}

0.25 e^{7 x - 4} = 0.2 e^{2 x + 5}

1 0^{x} = 1200

What is the answer to 320000=250342e^{0.012x} ?
The answer to 320000=250342e^{0.012x} is x=(ln(160000/125171))/(0.012)