Question

Find the value of x in 7 by 12 to the power-4 into 7 by 12 to the power 3x equals to 7 by 12 to the power 5 with solution ​

Answer 1

Answer:

$( \frac{7}{12} ) {}^{ - 4} \times ( \frac{7}{12} ) {}^{x} = (\frac{7}{12} ) {}^{5} \\ base \: is \: same \: so \: we \: will \: add \: the \: powers \: \\ ( \frac{7}{12} ) {}^{ - 4 + x} = ( \frac{7}{12} ) {}^{5} \\ since \: base \: is \: same \: on \: both \: sides \: so \: the \: powers \: on \: both \: sides \: are \: equal \\ - 4 + x = 5 \\ x = 9$

Answer 2

Answer:

1/3

Step-by-step explanation:

7/12(-4) * 7/12(3x) * 7/12(5)

7/12(-4+5) * 7/12(3x) (law of multiplication)

7/12(1) * 7/12(3x)

therefore, in equality if bases are same then their powers are also same.

1 = 3x

1/3 = x