What is the answer to 5618(60)=206(2.71)^{k(60)} ?

The answer to 5618(60)=206(2.71)^{k(60)} is k=(ln(168540/103))/(60ln(2.71))

Solve for k: 5618(60)=206(2.71)^{k(60)}

The solution is k=(ln(168540/103))/(60ln(2.71))

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5618 (60) = 206 (2.71)^{k (60)}

k = \frac{ln ( \frac{168540}{103} )}{60 ln ( 2.71 )}

Decimal Notation

k = 0.12371 \dots

Solution steps

5618 (60) = 206 (2.71)^{k (60)}

Switch sides

206 \cdot 2.7 1^{k 60} = 5618 \cdot 60

Multiply the numbers:

5618 \cdot 60 = 337080

206 \cdot 2.7 1^{k 60} = 337080

Divide both sides by

206

2.7 1^{k 60} = \frac{168540}{103}

Apply exponent rules

k \cdot 60 ln (2.71) = ln (\frac{168540}{103})

Solve

k \cdot 60 ln (2.71) = ln (\frac{168540}{103}) : k = \frac{ln ( \frac{168540}{103} )}{60 ln ( 2.71 )}

k = \frac{ln ( \frac{168540}{103} )}{60 ln ( 2.71 )}

4 e^{x - 2} = 8

e^{r + 10} - 10 = - 42

2^{x + 2} \cdot 4^{x} = 16

a^{2} e^{a x} - 3 a e^{a x} + 2 = 0

4^{y + 1} = 6

What is the answer to 5618(60)=206(2.71)^{k(60)} ?
The answer to 5618(60)=206(2.71)^{k(60)} is k=(ln(168540/103))/(60ln(2.71))
Solve for k: 5618(60)=206(2.71)^{k(60)}
The solution is k=(ln(168540/103))/(60ln(2.71))