Question

Find the value of log(4) ∙ log(25) to five decimal places.

Answer 1

Answer:0.84164

Explanation:

Given

`\log \left ( 4\right )\cdot \log \left ( 25\right )`

we know

`\log a^b=b\log a`

Applying this identity we get

`\log \left ( 2\right )^2\cdot \log \left ( 5\right )^2`

`=2\log \left ( 2\right )* 2\log \left ( 5\right )`

`=4* \log \left ( 2\right )\cdot \left ( 5\right )`

`=4* 0.301029* 0.698970`

`=0.84164`