Question

If log 2= 0.3010 and log 3 =0.4771. find the value of :
log 12​

Answer 1

Answer:

The value of log 12 is  1.0791

Step-by-step explanation:

Here we have been given that the value of log 2 to be 0.3010 and the value of log 3 to be 0.4771. We have to find the value of log 12. We will first write 12 as the product of 4 and 3 and then write 4 as the square of 2 as below:

log 12 = log ( 4 × 3)

⇒ log 12 = log ($2^{2}$ × 3)

Now we know that,

$log(A +B) = log A + log B$

log $A^{n}$ = n logA

Therefore we use the above formulas as below;

⇒ log 12  = log$2^{2}$ + log3

⇒ log 12 = 2log2 + log3

Now putting the value of log2 and log3 we have,

⇒ log 12 = 2 × 0.3010 + 0.4771

⇒ log 12 = 0.6020 + 0.4771

⇒ log 12 = 1.0791

Therefore the value of log 12 is 1.0791