Rewrite the following equation in terms of base $e$. Express the answer in terms of a natural logarithm, then round to three decimal places.
\[
y=1.3(0.3)^{x}
\]
Rewrite the equation in terms of base $e$. Express the answer in terms of a natural logarithm.
\[
y=
\]

Answer

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Answer

$\boxed{y = 1.3e^{-1.204x}}$

Steps

Step 1 ：The given equation is in the form of an exponential function with base 0.3. We can rewrite this in terms of base e by using the property of logarithms that states $a^b = e^{b \ln a}$. Therefore, we can rewrite the equation as $y = 1.3e^{x \ln 0.3}$.

Step 2 ：Calculate the natural logarithm of 0.3, which is approximately -1.204.

Step 3 ：Substitute this value into the equation to get the final answer.

Step 4 ：$\boxed{y = 1.3e^{-1.204x}}$

Rewrite the following equation in terms of base $e$. Express the answer in terms of a natural logarithm, then round to three decimal places.\[y=1.3(0.3)^{x}\]Rewrite the equation in terms of base $e$. Express the answer in terms of a natural logarithm.\[y=\]

Answer

Popular Problems

Rewrite the following equation in terms of base $e$. Express the answer in terms of a natural logarithm, then round to three decimal places.
\[
y=1.3(0.3)^{x}
\]
Rewrite the equation in terms of base $e$. Express the answer in terms of a natural logarithm.
\[
y=
\]