Math, asked by ANSH354, 10 months ago

If log4=0.6020 then find the value of log80

Answers

Answered by RDalal
1

Answer:

2.8060 is ur correct ans.

Answered by harendrachoubay
0

The value of \log80 is equal to 1.903.

Step-by-step explanation:

We have,

\log4 = 0.6020

To find, the value of \log80 = ?

\log4 = 0.6020

\log2^2 = 0.6020

2\log2 = 0.6020

\log2 = 0.3010

\log80

= \log(2\times 4\times 10)

Using the logarithm identity,

\log(a\times b\times c)=\log a+\log b+\log c

=\log 2+\log 4+\log 10

Put \log4 = 0.6020, \log2 = 0.3010 and \log10 = 1

= 0.3010 + 0.6020 + 1

= 1.903

∴ The value of \log80 = 1.903

Thus, the value of \log80 is equal to 1.903.

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