Write the exponential equation in logarithmic form.

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Mar 24,2025

Question

Write the exponential equation in logarithmic form. $$ 0.05 \approx \mathrm{e}^{-3} $$ $$ \square \approx \ln 0.05 $$ Submit

UpStudy AI · Accepted Answer

To convert the exponential equation $$ 0.05 \approx \mathrm{e}^{-3} $$ into logarithmic form, we can use the relationship between exponential and logarithmic forms. The general form is:

$$
a = b^c \implies c = \log_b(a)
$$

In this case, we have:

$$
0.05 \approx \mathrm{e}^{-3}
$$

This can be rewritten in logarithmic form as:

$$
-3 \approx \ln(0.05)
$$

Thus, the completed statement is:

$$
-3 \approx \ln(0.05)
$$
$$ -3 \approx \ln(0.05) $$

Write the exponential equation in logarithmic form.

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Write the exponential equation in logarithmic form. Submit