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The solution of the equation 5x^(log(2)3...

The solution of the equation `5x^(log_(2)3)+3^(log_(2)x)=162` is

Text Solution

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The correct Answer is:
`x=8`
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Knowledge Check

  • The solution of the equation 5^(log_(a)x)+5x^(log_(a)5)=3, a gt0 , is

    A
    `5^(log_(a)5)`
    B
    `2^(-log5a)`
    C
    `2^(-log_(a)5)`
    D
    `2^(log5 a)`

  • The number of solutions of the equation 2x^(log_(10)x)+3x^(log_(10)(1//x))=5 is

    A
    `1`
    B
    `2`
    C
    `3`
    D
    none of these

  • The solution of the equation 5^(log_(a)x)+5x^(log_(a)5)=3, (agt0) is

    A
    `a^(-log_(5)2)`
    B
    `a^(log_(5)2)`
    C
    `2^(-log_(5)a)`
    D
    `2^(log_(5)a)`

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    If p and q are solutions of the equation 5^((log_(5)^(2) x))+x^(log_(5)x)=1250 then log_(q)p has the value equal to

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