logarithm of number less than one 0.016*0.084/0.48
The mantissa is negative. For instance log .002= log(10*-3*2)
= log(10^-3) + log 2= -3+.3020
= -2.69
in your example
log(xxxx*zzz/yyy)=log xxxx + logzzzz- log yyyy
which means log(10^-2)+log1.6 + log(10^-2)+log8.4 - [log(10^-1) +log(4.8)
but you donly do that way if you are using log tables. Fortuantly, our modern calculators have taken all that organization to themselves]
pleases I want to known how to solve this standard form 0.016×0.084÷0.48
Samuel
Solve
To find the logarithm of a number less than one, we can use the property of logarithms that states: log(base a) (1/x) = -log(base a) (x)
Let's calculate the expression: 0.016 * 0.084 / 0.48
Step 1: Multiply 0.016 and 0.084: 0.016 * 0.084 = 0.001344
Step 2: Divide the result by 0.48: 0.001344 / 0.48 = 0.0028
Now, to find the logarithm of this number, we'll use base 10 logarithm as an example.
Step 3: Take the logarithm of 0.0028: log(base 10) (0.0028) = -2.55388
Therefore, the logarithm of the expression 0.016 * 0.084 / 0.48 is approximately -2.55388.