Question

solve the given exponential equation

Answer 1

Given that :

${3}^{4x} = \frac{1}{81}$

We have to find the value of x :

${3}^{4x} = \frac{1}{81} \\ \\ = > {3}^{4x} = \frac{1}{ {3}^{4} } \\ \\ = > {3}^{4x} = {3}^{ - 4} \\ \\ = > 4x = - 4 \\ \\ = > x = - 1$

So, the value of x will be -1

Answer 2

Answer:x=-1

Step-by-step explanation:

3power4x=1/81

3power4x=1/3power4

3power4x =3power-4

Now,comparing both side,

4x=-4

x=-4/4

x=-1

Hope helped..