Questions: Evaluate the following logarithms. (a) log 2 (b) ln 55 (c) log 52,430 (a) log 2= (Round to three decimal places as needed.)

Transcript text: Evaluate the following logarithms. (a) $\log 2$ (b) $\ln 55$ (c) $\log 52,430$ (a) $\log 2=$ $\square$ (Round to three decimal places as needed.)

Solution

Solution Steps

To evaluate the given logarithms, we can use Python's math library which provides functions to compute logarithms. Specifically, math.log10 for common logarithms (base 10) and math.log for natural logarithms (base e).

Step 1: Evaluate $ \log 2 $

Using the logarithm properties, we find that: \[ \log 2 \approx 0.301 \]

Step 2: Evaluate $ \ln 55 $

For the natural logarithm, we calculate: \[ \ln 55 \approx 4.007 \]

Step 3: Evaluate $ \log 52430 $

Finally, we compute the logarithm of 52430: \[ \log 52430 \approx 4.72 \]