Question

If (5/12)^3×(5/12)^-6x= (5/12)-12, then x=?​

Answer 1

Answer:

$\frac{5}{2}$

Step-by-step explanation:

$(5/12)^3×(5/12)^{-6x}= (5/12) ^{ (-12)} \\ \\ { (\frac{5}{12}) }^{(3 - 6x)} = { (\frac{5}{12}) }^{ - 12} \\ \\ 3 - 6x = - 12 \\ \\ - 6x = - 12 - 3 \\ \\ - 6x = - 15 \\ \\ x = \frac{15}{6} = \frac{5}{2}$

Answer 2

Answer:

The value of $x=\frac{5}{2}$

Step-by-step explanation:

The given equality is:

$(\frac{5}{12} )^{3} *(\frac{5}{12} )^{-6x} =(\frac{5}{12} )^{-12}$

As the base is same, so we will add the powers on LHS

$(\frac{5}{12} )^{3-6x} =(\frac{5}{12} )^{-12}$

Again, the base is same, we can equate the powers,

$3-6x=-12$

$-6x=-12-3$

$-6x=-15$

$x=\frac{-15}{-6}$

$x=\frac{5}{2}$

#SPJ2