To simplify the given expression:
3(log10^2 - log10^24) / (log10^3 + log10^27)
Using the properties of logarithms, we can rewrite log10^2 and log10^24 as:
log10^2 = 2log10^24 = 24
Now the expression becomes:
3(2 - 24) / (3 + 27)
Simplify the expression further:
3(-22) / 30-66 / 30-11 / 5
Therefore, the simplified expression is -11/5.
To simplify the given expression:
3(log10^2 - log10^24) / (log10^3 + log10^27)
Using the properties of logarithms, we can rewrite log10^2 and log10^24 as:
log10^2 = 2
log10^24 = 24
Now the expression becomes:
3(2 - 24) / (3 + 27)
Simplify the expression further:
3(-22) / 30
-66 / 30
-11 / 5
Therefore, the simplified expression is -11/5.