Question

Which expressions are equivalent to the one below? Check all that apply.log71 •logg 25O A. 2• log77OB. 1O COO D. 5.7

Answer 1

Problem

`\log ^1_7\text{ . }\log ^(25)_5`
`\begin{gathered} =\text{ }\log ^{1\text{ }}_7\text{ x }\log ^(5^2)_5 \\ =\text{ }\log ^1_7\text{ x 2}\log ^5_5 \\ \log ^1_7\text{ = 0 and }\log ^5_5\text{ = 1} \\ =\text{ 0 }*\text{ 2 }*\text{ 1} \\ \text{= 0} \end{gathered}`

Final answer

Option C is equivalent to the expression.