Question

If 2 power x+5 = 4 power x-1,Then x=

Answer 1

x

−2

x−1

=4

⇒(2

1

×2

x−1

)−2

x−1

=4

or 2

x−1

(2−1)=4

or 2

x−1

=2

2

Since base of both sides of the equation are equal, the powers should also be equal.

⇒x−1=2

⇒x=2+1=3

∴x

x

=3

3

=

Answer 2

Answer:

$- 2$

Step-by-step explanation:

solution in picture.