If $\log_{b} 8 = 0.21$ , evaluate the expression.
$\log_{b} \frac{5}{40}$
$\log_{b} \frac{5}{40} =$
(Simplify your answer.)

Answer

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Answer

Final Answer: The value of $\log_{b} \frac{5}{40}$ is $- 0.21$ .

Steps

Step 1 ：The expression $\log_{b} \frac{5}{40}$ can be simplified as $\log_{b} \frac{1}{8}$ .

Step 2 ：Since we know that $\log_{b} 8 = 0.21$ , we can use the property of logarithms that $\log_{b} \frac{1}{x} = - \log_{b} x$ to find the value of $\log_{b} \frac{1}{8}$ .

Step 3 ： $Double subscripts: use braces to clarify$

Step 4 ： $Double subscripts: use braces to clarify$

Step 5 ：Final Answer: The value of $\log_{b} \frac{5}{40}$ is $- 0.21$ .

If logb⁡8=0.21, evaluate the expression.logb⁡540logb⁡540=(Simplify your answer.)

Answer

Popular Problems

If $\log_{b} 8 = 0.21$ , evaluate the expression.
$\log_{b} \frac{5}{40}$
$\log_{b} \frac{5}{40} =$
(Simplify your answer.)