Answer:
a. x = 6
b. x = 2
Step-by-step explanation:
a. [tex] 2^x = 64 [/tex]
[tex] 2^x = 2^6 [/tex]
[tex] x = 6 [/tex] => the bases will cancel each other
b. [tex] 3^{2x + 1} = 243 [/tex]
[tex] 3^{2x + 1} = 3^5 [/tex]
[tex] 2x + 1 = 5 [/tex] => the bases will cancel each other
[tex] 2x + 1 - 1 = 5 - 1 [/tex]
[tex] 2x = 4 [/tex]
Divide both sides by 2
x = 4/2
x = 2
