Show that log(1+2+3)=log 1 + log 2 + log 3( with the formula)?
the statement is false
log(1+2+3) ≠ log 1 + log 2 + log 3
we know log(1x2x3)=log 1 + log 2 + log 3
but not the way you wrote it
if it were true, then
1x2x3 = 1+2+3 , good luck on that one!
Of course, 1+2+3 does equal 1*2*3
Ohh my !!!
To show that log(1+2+3) can be written as log 1 + log 2 + log 3, we can start by using the formula for logarithm addition:
log(a + b) = log(a) + log(b)
In our case, a = 1+2 and b = 3. Substituting these values into the formula, we get:
log(1+2+3) = log(3)
Now, we can rewrite 1+2 as a single value (3):
log(3) = log(1+2)
Using the formula log(a+b) = log(a) + log(b), we can split log(1+2) into two parts:
log(3) = log(1) + log(2)
Therefore, we have successfully shown that log(1+2+3) can be expressed as log 1 + log 2 + log 3 using the logarithm addition formula.