Answered

Which expressions are equivalent to the one below? Check all that apply.log3 3+ log3 27A. log3 81B. log3 (3^4)C. 4D. log 10

Answer :

The given expression is

[tex]log_33+log_327[/tex]

We will use the rule

[tex]log_ba+log_bc=log_b(ac)[/tex][tex]\begin{gathered} log_33+log_327=log_3(3\times27) \\ \\ log_3(3\times27)=log_3(81) \end{gathered}[/tex]

Since 81 = 3 x 3 x 3 x 3, then

[tex]\begin{gathered} 81=3^4 \\ log_3(81)=log_3(3^4) \end{gathered}[/tex]

We will use the rule

[tex]log_b(a^n)=nlog_b(a)[/tex][tex]undefined[/tex]

Go Question: Other Questions