Answer:
see explanation
Step-by-step explanation:
Using the rules of logarithms
• log x + log y = log xy
• log x - log y = log ([tex]\frac{x}{y}[/tex] )
• log[tex]x^{n}[/tex] = n log x
(a)
[tex]log_{7}[/tex] 9 + [tex]log_{7}[/tex] 2 = [tex]log_{7}[/tex] (9 × 2) = [tex]log_{7}[/tex] 18
(b)
[tex]log_{8}[/tex] 7 - [tex]log_{8}[/tex] 11 = [tex]log_{8}[/tex] [tex]\frac{7}{11}[/tex]
↑ required value
(c)
2[tex]log_{9}[/tex] 2 = [tex]log_{9}[/tex] 2² = [tex]log_{9}[/tex] 4
