What is the answer to 578962=3e^{0.03183(x)} ?

The answer to 578962=3e^{0.03183(x)} is x=(ln(578962/3))/(0.03183)

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578962=3e^{0.03183(x)}

578962 = 3 e^{0.03183 (x)}

x = \frac{ln ( \frac{578962}{3} )}{0.03183}

Decimal Notation

x = 382.35563 \dots

Solution steps

578962 = 3 e^{0.03183 (x)}

Switch sides

3 e^{0.03183 x} = 578962

Divide both sides by

3

e^{0.03183 x} = \frac{578962}{3}

Apply exponent rules

0.03183 x = ln (\frac{578962}{3})

Solve

0.03183 x = ln (\frac{578962}{3}) : x = \frac{ln ( \frac{578962}{3} )}{0.03183}

x = \frac{ln ( \frac{578962}{3} )}{0.03183}

2^{6 x + 12} = 3 2^{2 x + 4}

40 = 2^{x}

5^{3 x + 1} = 6^{2 x + 1}

1^{x} = 1.2

e^{a^{5}} = 2.4

What is the answer to 578962=3e^{0.03183(x)} ?
The answer to 578962=3e^{0.03183(x)} is x=(ln(578962/3))/(0.03183)