Question

find x, (3/4)to the power x × (3/4)to the power6 = (3/4)to the power16​

Answer 1

Answer:

X equal to 10

Step-by-step explanation:

bécàuse X^y×X^z equal to X^(y+z)

so,

(x+6)=16

thàn

x=10

Answer 2

QUESTION :-

Find x, if :- $(\frac{3}{4}) ^x \times (\frac{3}{4})^6 = (\frac{3}{4})^{16}$

SOLUTION :-

Using the Law, $\boxed {\bold {a^m \times a^n = a^{m + n}}}$, we get,

As the Base [3/4] are the Same on both Sides, Equate the Powers Respectively -

(i.e.) => x + 6 = 16

=> x = 16 - 6

∴ x = 10

VERIFICATION :-

When x = 10;

$\Rightarrow (\frac{3}{4})^{10} \times (\frac{3}{4})^6 = (\frac{3}{4})^{16}\\\\\Rightarrow (\frac{3}{4})^{10 + 6} = (\frac{3}{4})^{16}\\\\\Rightarrow \bold {(\frac{3}{4})^{16} = (\frac{3}{4})^{16}}$

Hence, It is also Verified that LHS is Equal to RHS...

CONCLUSION :-

The Value of x is 10..