$$\text { Tell whether the statement } \log _ { 7 } 7 ^ { 6 } = 6 \left( 7 ^ { \log 7 ^ { 6 } } \right) \text { is true or false. }$$

Name: \[\text { Tell whether the statement } \log _ { 7 } 7 ^ { 6 } = 6 \left( 7 ^ { \log 7 ^ { 6 } } \right) \text { is true or false. }\]
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Question

Quizplus · Accepted Answer

The statement is false because $\log_{7} 7^{6} = 6$, but $7^{\log 7^{6}} = 7^{6}$, so the equation simplifies to $6 \times 7^{6}$, which is not equal to 6.

Tell whether the statement log⁡776=6(7log⁡76) is true or false. \text { Tell whether the statement } \log _ { 7 } 7 ^ { 6 } = 6 \left( 7 ^ { \log 7 ^ { 6 } } \right) \text { is true or false. } Tell whether the statement log7​76=6(7log76) is true or false.

$\text { Tell whether the statement } \log _ { 7 } 7 ^ { 6 } = 6 \left( 7 ^ { \log 7 ^ { 6 } } \right) \text { is true or false. }$