Answer:
x = 2 and x = 2
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
[tex]log_{x}[/tex] 8 = 3 ⇒ 8 = x³
Note 8 = 2³ = x³ ⇒ x = 2
Given
[tex]log_{5}[/tex] 25 = x ⇒ 25 = [tex]5^{x}[/tex]
25 = 5² = [tex]5^{x}[/tex] ⇒ x = 2
