Solve the following equations `(i) (log_(2)(9-2^(x)))/(3-x)=1` `(ii) x^((log_(10)x+7)/(4))=10^((log_(10)x+1)` `(iii) (log_(10)(100x))^(2)+(log_(10)(10
Solve the following equations
`(i) (log_(2)(9-2^(x)))/(3-x)=1` `(ii) x^((log_(10)x+7)/(4))=10^((log_(10)x+1)`
`(iii) (log_(10)(100x))^(2)+(log_(10)(10x))^(2)=14+log_(10)(1//x)`
`(iv) log_(10)5+log_(10)(x+10)-1=log_(10)(21x-20)-log_(10)(2x-1)`
`(v)5^(2x)=3^(2x)+2.5^(x)+2.3^(x)`
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Correct Answer - `(i) 0` `(ii) 10,10^(-4)` `(iii) 10,10^(-9//2)` `(iv) 10,3//2` `(v) 1`
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