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Q.15 Simplify: log 2+log +log 1/2 5 us 1...

Q.15 Simplify: log 2+log +log 1/2 5 us 10- 2 21

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`5^(log_(1/5)(1/2)) = 5^(log_(5^(-1))(2^(-1))`
`= 5^(log_(5)(2)) = 2`
Now, `log_(sqrt2) (4/(sqrt7+sqrt3)) = log_(2^(1/2)) (4/(sqrt7+sqrt3)**(sqrt7- sqrt3)/(sqrt7- sqrt3)) `
`=2log_2 ((4(sqrt7-sqrt3))/(7-3))`
`=log_2 (sqrt7- sqrt3)^2`
`=log_2 (10-2sqrt21**(10+2sqrt21)/(10-2sqrt21))`
`=log_2 ((100-84)/(10-2sqrt21))`
`=log_2 (16/(10-2sqrt21))`
...
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