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Find the value of (1/(49))^(1+(log)7 2)+...

Find the value of `(1/(49))^(1+(log)_7 2)+5^(-1(log)_((1/5))(7))`

Text Solution

Verified by Experts

The correct Answer is:
`(1373)/(196)`
`(1/49)^(1+log_(7)2)+5^(-log_((1//5))(7))`
` = (7^(-2))^(log_(7)14) + 5^(log_(5) 7)`
` = 7^(log_(7)14^(-2))+7`
` = 14^(-2) + 7`
` = 1/(196)+7=(1373)/(196)`
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