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Popular >

57=5e^{0.02*x}

Solution

57 = 5 e^{0.02 \cdot x}

Solution

x = \frac{ln ( \frac{57}{5} )}{0.02}

+1

Decimal Notation

x = 121.68066 \dots

Solution steps

57 = 5 e^{0.02 x}

Switch sides

5 e^{0.02 x} = 57

Divide both sides by

5

e^{0.02 x} = \frac{57}{5}

Apply exponent rules

0.02 x = ln (\frac{57}{5})

Solve

0.02 x = ln (\frac{57}{5}) : x = \frac{ln ( \frac{57}{5} )}{0.02}

x = \frac{ln ( \frac{57}{5} )}{0.02}

Popular Examples

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x^{4 x} = 4

4 = 2^{n}

8 t e^{- 2 t} = 0

Frequently Asked Questions (FAQ)

What is the answer to 57=5e^{0.02*x} ?
The answer to 57=5e^{0.02*x} is x=(ln(57/5))/(0.02)