Question
Calculate the value
1200log2(107)−1200−1200log2(55)
Alternative Form
≈−47.871273
Evaluate
1200log2(440428)
Cancel out the common factor 4
1200log2(110107)
Simplify
More Steps

Evaluate
log2(110107)
Use loga(yx)=loga(x)−loga(y) to transform the expression
log2(107)−log2(110)
Simplify the expression
More Steps

Evaluate
log2(110)
Use loga(x×y)=loga(x)+loga(y) to transform the expression
log2(2)+log2(55)
Use logaan=n to simplify the expression
1+log2(55)
log2(107)−(1+log2(55))
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
log2(107)−1−log2(55)
1200(log2(107)−1−log2(55))
Solution
1200log2(107)−1200−1200log2(55)
Alternative Form
≈−47.871273
Show Solution
