Question

How to calculate log 0.9821*10^6 ?

Answer 1

Should you not specify the BASE of the logarithmic function...?

Explanation:

If it is `log_(10)0.9821xx10^6`...this is approx. equal to `6`...we get a more or less exact value from the calculator...`log_(10)0.9821xx10^6-=5.992`...

But if we use natural logarithms (and since the base is UNSPECIFIED I would be justified in assuming this, the most natural base) we got...

`log_(e)0.9821xx10^6-=13.797`...

As always when we write `log_a b=c`...I ask to what power I raise the base `a` to get `b`...and here `a^c=b`. By way of example....

`log_10(0.1)=log_10(10^(-1))=-1`

`log_10(100)=log_10(10^(2))=2`

`log_10(1000000)=log_10(10^(+6))=6`

With me...?