Problem 38
Question
Evaluate each expression without using a calculator. $$\log _{6} 1$$
Step-by-Step Solution
Verified Answer
The value of \(\log _{6} 1\) is 0.
1Step 1: Applying the properties of logarithm
In general, for any base \(b\), \(\log_{b}(1) = 0\), because \(b^0 = 1\). Applying this property to the given logarithm \(\log _{6} 1\).
2Step 2: Evaluating the expression
On applying the log property, \(\log _{6} 1\) evaluates to 0.
Other exercises in this chapter
Problem 37
Use properties of logarithms to expand logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
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Solve each exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then use a calculator to obtain a decimal approxi
View solution Problem 38
Use properties of logarithms to expand logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
View solution