Use the properties of logarithms to approximate ,given that
A) -4.9767
B) -1.7579
C) 0.4780
D) 5.4195
E) 4.9767

Question

​Use the properties of logarithms to approximate  ,given that  ​
A) ​-4.9767 
B) ​-1.7579 
C) ​0.4780 
D) ​5.4195 
E) ​4.9767

Quizplus · Accepted Answer

Using the property log(ab) = log(a) + log(b), we can write:
log(11ea8970_6a4f_5d8a_861b_6525a8824454_TB1301_11) = log(11ea8970_6a4f_5d8b_861b_7319fb9183c3_TB1301_11) + log(1/3)
Using the values provided, we get:
log(11ea8970_6a4f_5d8a_861b_6525a8824454_TB1301_11) = 1.1149 + (-1) = 0.1149
Now, using the property 10^log(x) = x, we can write:
11ea8970_6a4f_5d8a_861b_6525a8824454_TB1301_11 = 10^(0.1149) ≈ 1.7579
Therefore, the best choice is B: -1.7579.

​Use the Properties of Logarithms to Approximate ,Given That

Use the Properties of Logarithms to Approximate ,Given That