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Popular >

1.6=2e^{0.3x}

Solution

1.6 = 2 e^{0.3 x}

Solution

x = \frac{ln ( 0.8 )}{0.3}

+1

Decimal Notation

x = - 0.74381 \dots

Solution steps

1.6 = 2 e^{0.3 x}

Switch sides

2 e^{0.3 x} = 1.6

Divide both sides by

2

e^{0.3 x} = 0.8

Apply exponent rules

0.3 x = ln (0.8)

Solve

0.3 x = ln (0.8) : x = \frac{ln ( 0.8 )}{0.3}

x = \frac{ln ( 0.8 )}{0.3}

Popular Examples

e^{x + 8} = 26

2^{n + 1} = \frac{1}{2}

32^{x+4}=8^{2x-5}

3 2^{x + 4} = 8^{2 x - 5}

e^{2-t}=5e^{4t}

e^{2 - t} = 5 e^{4 t}

2 = e^{5 k}

Frequently Asked Questions (FAQ)

What is the answer to 1.6=2e^{0.3x} ?
The answer to 1.6=2e^{0.3x} is x=(ln(0.8))/(0.3)