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Popular >

10=3e^{0.06x}

Solution

10 = 3 e^{0.06 x}

Solution

x = \frac{ln ( \frac{10}{3} )}{0.06}

+1

Decimal Notation

x = 20.06621 \dots

Solution steps

10 = 3 e^{0.06 x}

Switch sides

3 e^{0.06 x} = 10

Divide both sides by

3

e^{0.06 x} = \frac{10}{3}

Apply exponent rules

0.06 x = ln (\frac{10}{3})

Solve

0.06 x = ln (\frac{10}{3}) : x = \frac{ln ( \frac{10}{3} )}{0.06}

x = \frac{ln ( \frac{10}{3} )}{0.06}

Popular Examples

4^{x - 1} = \frac{1}{2}

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4^{n} + 4^{n} + 4^{n} + 4^{n} = 2^{44}

9^{x} + 9^{x} = 9

4^{x - 3} = 0. 5^{x}

(\frac{1}{4})^{4 x} = 64

Frequently Asked Questions (FAQ)

What is the answer to 10=3e^{0.06x} ?
The answer to 10=3e^{0.06x} is x=(ln(10/3))/(0.06)