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Popular >

90=30e^{0.03*x}

Solution

90 = 30 e^{0.03 \cdot x}

Solution

x = \frac{ln ( 3 )}{0.03}

+1

Decimal Notation

x = 36.62040 \dots

Solution steps

90 = 30 e^{0.03 x}

Switch sides

30 e^{0.03 x} = 90

Divide both sides by

30

e^{0.03 x} = 3

Apply exponent rules

0.03 x = ln (3)

Solve

0.03 x = ln (3) : x = \frac{ln ( 3 )}{0.03}

x = \frac{ln ( 3 )}{0.03}

Popular Examples

e^{2x}-e^x-56=0

e^{2 x} - e^{x} - 56 = 0

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

4 9^{x + 3} = 7^{x + 2}

3^{x + 1} = 81

312 5^{x} = \frac{1}{x}

16^{x+2}=32^{2x-1}

1 6^{x + 2} = 3 2^{2 x - 1}

Frequently Asked Questions (FAQ)

What is the answer to 90=30e^{0.03*x} ?
The answer to 90=30e^{0.03*x} is x=(ln(3))/(0.03)