Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible,

(Simplify your answer.)

Ask by Owen Wheeler. in the United States

Mar 21,2025

Question

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible,

(Simplify your answer.)

Ask by Owen Wheeler. in the United States

Mar 21,2025

UpStudy AI · Accepted Answer

First, we apply the logarithm property that states

$$
\log a + \log b = \log(ab).
$$

Thus, we have

$$
\log 125 + \log 8 = \log(125 \cdot 8).
$$

Next, we perform the multiplication:

$$
125 \cdot 8 = 1000.
$$

This gives us:

$$
\log 125 + \log 8 = \log 1000.
$$

So, the final condensed form is:

$$
\log 1000.
$$
$$ \log 125 + \log 8 = \log 1000 $$