Question

Just number 23 super confused

Answer 1

x = -7

Explanation:

This is an exponential equation.

`(1)/(2)^x=128`

We need to take log(or ln) of both sides and use logarithm property to solve this.

So, let's take ln of both sides, so we have:

`ln((1)/(2)^x)=ln(128)`

Now, we will use this property shown below to further simplify:

`ln(a^b)=bln(a)`

So, we now have:

`ln((1)/(2)^x)=ln(128)\\xln((1)/(2))=ln(128)\\x=(ln(128))/(ln((1)/(2)))\\x=-7`

The value of x is -7