Question

What is the value of log 43? Use the calculator. Round your answer to the nearest tenth.

Answer 1

1.6

Explanation:

It's 1.633, when you round to the nearest tenth, it's B) 1.6

Answer 2

The value of log 43is 1.633

Explanation:

Explanation:

Suppose you know that:

`\begin{array}{l}{\log 2 \approx 0.30103} \\{\log 3 \approx 0.47712}\end{array}`

Then note that:

`43=(129)/(3) \approx (128)/(3)=(2^(7))/(3)`

So

`\log 43 \approx \log \left((2^(7))/(3)\right)=7 \log 2-\log 3 \approx 7 \cdot 0.30103-0.47712=1.63009`

We know that the error is approximately:

`\log \left((129)/(128)\right)=\log 1.0078125=(\ln 1.0078125)/(\ln 10) \approx 0.00782 .3=0.0034`

So we can confidently give the approximation:

`\log 43 \approx 1.633`