The value of log^(2⁡92)1/(log_2⁡log_2⁡9)×7^(1log4⁡7) is_____

Question

The value of log^(2⁡92)1/(log_2⁡log_2⁡9)×7^(1log4⁡7) is_____.

MARKS Content Team · Accepted Answer

Correct answer: 8. log_2⁡9^(2log2⁡log2⁡9)×7^(12log4⁡7) = ( log^(2 9 ) 2 log ( log 2 9 ) 2 × 7 1 2 log 7 4 = ( log 2 9 ) log ( log 2 9 ) 2 2) ×7^(log 7 4 1 2) =2^2 ×4^(1 2) = 4×2=8

The value of ${({(\log_{2} 9)}^{2})}^{\frac{1}{\log_{2} (\log_{2} 9)}} \times {(\sqrt{7})}^{\frac{1}{\log_{4} 7}}$ is_____.

Solution

More Basic of Mathematics Questions

The value of log2⁡921log2⁡log2⁡9×71log4⁡7 is_____.

Solution

More Basic of Mathematics Questions

The value of ${({(\log_{2} 9)}^{2})}^{\frac{1}{\log_{2} (\log_{2} 9)}} \times {(\sqrt{7})}^{\frac{1}{\log_{4} 7}}$ is_____.