### Home > PC3 > Chapter 4 > Lesson 4.2.3 > Problem4-98

4-98.

​Use the properties of exponents and matching bases to solve the following equations.

1. $4^{x+1}=\sqrt{2^x}$

$(2^2)^{x+1}=(2^x)^{1/2}$

1. $3(9)^x=27^{x+1}$

$3^1(3^2)^x=(3^3)^{x+1}$

1. $\sqrt[3]{5^x}=\left(\frac{1}{25}\right)^{x-2}$

$(5^x)^{1/3}=(5^{−2})^{x−2}$