How do you solve #256= 4^ { x }#?

Question

3267 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-16T23:36:01

#color(blue)(x = 4#

Given:

#color(red)(256 = 4^x)# ... Equation.1

We know that:

#256 = 4 ^ 4#

Hence, using Equation.1

#4^4 = 4^x#

Using the property:

If #color(green)(a^m = a^n)# then

#color(green)(m = n)#

Hence, we conclude that

#color(blue)(x = 4#

Hope you find this solution useful