Question

it log¹⁰2=0.3010,then log²10 is?​

Answer 1

Answer:

Correct option is

B

301

1000

log

2

10=

log

10

2

1

=

0.3010

1

=

3010

10000

=

301

1000

Answer 2

Step-by-step explanation:

Given :-

log¹⁰2=0.3010

To find :-

Find the value of log²10 ?

Solution :-

Given that

log¹⁰2=0.3010

Now,

log²10

It can be written as

=> 1/log¹⁰ 2

Since log a (b) = 1/log b (a)

=> 1/ 0.3010

=> 1/(3010/10000)

=> 1×(10000/3010)

=> 10000/3010

=> 1000/301

Answer:-

The value of log²10 is 1000/301

Used formulae:-

→ log a (b) = 1/log b (a)

The letter in the bracket represents the number