Take the natural log of both sides
ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3
ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
Answer: 5.43
Step-by-step explanation:
Given :

To find x , we will find the cube root of both sides , that is
![x = \sqrt[3]{160}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B160%7D)

≈ 5.43
Answer: t= 15
Step-by-step explanation:
1/4t= 3 3/4
Make 3 3/4 as an improper fraction:
15/4
Multiply:
t= 15/4 x 4/1
=60/4
t=15