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WINSTONCH [101]
3 years ago
9

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

Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0

Answer:0.84164

Step-by-step 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 )\times 2\log \left ( 5\right )

=4\times \log \left ( 2\right )\cdot \left ( 5\right )

=4\times 0.301029\times 0.698970

=0.84164

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