Question

If log4=0.6020 then find the value of log80

Answer 1

Answer:

2.8060 is ur correct ans.

Answer 2

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.