Problem 35
Question
Evaluate each expression without using a calculator. $$\log _{5} 5$$
Step-by-Step Solution
Verified Answer
The value of \( \log _{5} 5 \) is 1
1Step 1: Logarithmic Function Property
Logarithmic function has a property that the log of a number to its own base is always 1. Thus, for any base b, \( \log _{b} b \) = 1
2Step 2: Apply the Property
Applying the property to the expression \( \log _{5} 5 \) we get the value to be 1
Other exercises in this chapter
Problem 34
Graph functions \(f\) and \(g\) in the same rectangular coordinate system. Select integers from \(-2\) to 2 , inclusive, for \(x\). Then describe how the graph
View solution Problem 35
Solve each exponential equation by taking the logarithm on both sides. Express the solution set in terms of logarithms. Then use a calculator to obtain a decima
View solution Problem 35
Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calcula
View solution Problem 35
Graph functions \(f\) and \(g\) in the same rectangular coordinate system. Select integers from \(-2\) to 2 , inclusive, for \(x\). Then describe how the graph
View solution