Question

3x
UT
The value of x for which
The value of x for which() **@*-*)".
12​

Answer 1

Answer:

3

Step-by-step explanation:

3x-4 equals to 5 simply it

Answer 2

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore x=-3}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given :} \\ \implies (\frac{7}{12})^{ - 4} \times (\frac{7}{12})^{ - 3x} = (\frac{7}{12})^{5} \\ \\ \underline \bold{To \: Find :} \\ \implies x = ?$

• According to given question :

$\implies (\frac{7}{12})^{ - 4} \times (\frac{7}{12})^{ - 3x} = (\frac{7}{12})^{5} \\ \\ \implies (\frac{7}{12} )^{ (- 4 + ( - 3x))} = (\frac{7}{12}) ^{5} \\ \\ \bold{Both \: side \: bases \: are \: same \: } \\ \bold {So, \: powers \: are \: also \: same} \\ \implies - 4 - 3x = 5 \\ \\ \implies - 3x = 5 + 4 \\ \\ \implies - 3x = 9 \\ \\ \implies x = \frac{ \cancel9}{ \cancel{ - 3}} \\ \\ \bold{\implies x = - 3} \\ \\ \bold{Verification : } \\ \implies (\frac{7}{12})^{ - 4} \times (\frac{7}{12})^{ - 3x} = (\frac{7}{12})^{5} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \bold{lhs : } \\ \bold{Putting \: value \: of \: x : } \\ \implies (\frac{7}{12})^{ - 4} \times (\frac{7}{12})^{ - 3 \times - 3} \\ \\ \implies (\frac{7}{12})^{ - 4 - ( - 9)} \\ \\ \implies (\frac{7}{12})^{ - 4 + 9)} \\ \\ \implies (\frac{7}{12})^{ 5} \\ \: \: \bold{Verified}$