To simplify this expression, we will use the properties of logarithms:
Now, we can rewrite the expression using the simplified logarithms:
log(7)1024 - log(7)196 - log(7)256 = log(7)(1024/196) - 4
Calculating the value inside the logarithm gives:
log(7)(5.224) - 4
Therefore, the simplified expression is: log(7)(5.224) - 4
To simplify this expression, we will use the properties of logarithms:
2log(7)32 = log(7)(32^2) = log(7)10242log(7)14 = log(7)(14^2) = log(7)196log(7)256 = log(7)(256) = 4Now, we can rewrite the expression using the simplified logarithms:
log(7)1024 - log(7)196 - log(7)256 = log(7)(1024/196) - 4
Calculating the value inside the logarithm gives:
log(7)(5.224) - 4
Therefore, the simplified expression is: log(7)(5.224) - 4