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If log(10)5=a and log(10)3=b,then...

If `log_(10)5=a` and `log_(10)3=b`,then

A

`log_(10)8=3(1-a)`

B

`log_(40)15=((a+b))/((3-2a))`

C

`log_(243)32=((1-a)/b)`

D

All of these

Text Solution

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The correct Answer is:
A, B, C, D
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Knowledge Check

  • If log_(10) 2 = a, log_(10)3 = b" then "log_(0.72)(9.6) in terms of a and b is equal to

    A
    `(2a+3b-1)/(5a+b-2)`
    B
    `(5a+b-1)/(3a+2b-2)`
    C
    `(3a+b-2)/(2a+3b-1)`
    D
    `(2a+5b-2)/(3a+b-1)`

  • if log_(10)x=a, log_(10)y=b and log_(10)z=c , then antilog (pa + qb - rc) =?

    A
    `(pxqy)/(rz)`
    B
    `px + qy + rz`
    C
    `(x^(p)y^(q))/z^(r)`
    D
    `x^(p)y^(q)z^( r)`

  • If log_(10)a + log_(10) b =c , then the value of a is:

    A
    bc
    B
    `c/b`
    C
    `(10)^( c)/b`
    D
    `(10b)/c`

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    If log_(10)2=a backslash and log_(10)3=b, then log_(5)12 equals a.(a+b)/(1+a) b.(2a+b)/(1+a) c.(a+2b)/(1+a)d(2a+b)/(1-a)

    If log_(3)4=a , log_(5)3=b , then find the value of log_(3)10 in terms of a and b.

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    If log_(10)x=a,log_(10)y=b and log_(10)z=c, then antilog (pa+qb-rc) =?

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