Convert to Logarithmic Form 0.72=2.88e^(k(3))

$0.72 = 2.88 e^{k (3)}$

Simplify.

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Simplify both sides of the equation.

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Multiply $k$ by $3$ .

$0.72 = 2.88 e^{k \cdot 3}$

Move $3$ to the left of $k$ .

$0.72 = 2.88 e^{3 k}$

Divide each term in $0.72 = 2.88 e^{3 k}$ by $2.88$ .

$\frac{0.72}{2.88} = \frac{2.88 e^{3 k}}{2.88}$

Divide $0.72$ by $2.88$ .

$0.25$

Reduce by cancelling the common factors.

$0.25 = e^{3 k}$

Convert the exponential equation to a logarithmic equation using the logarithm base $(e)$ of the left side $(0.25)$ equals the exponent $(3 k)$ .

$\log_{e} (0.25) = 3 k$

Convert to Logarithmic Form 0.72=2.88e^(k(3))

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