What is the solution of log3 x − 5 16 = 2?

x = −4

x = 4

x = −3

x = 3

Question

What is the solution of log3 x − 5 16 = 2?

x = −4 

 x = 4 

 x = −3 

 x = 3

anonymous · Answer

@ganeshie8

dan815 · Answer

should that  say 5^16 or something

ganeshie8 · Answer

yeah looks like it got messed up while copy past

ganeshie8 · Answer

$\large \log_{3x-5} ~16 = 2$

like this @gabylovesu  ?

dan815 · Answer

ahh that makes sense

anonymous · Answer

I guess.

ganeshie8 · Answer

start by changing it to exponent form, use below :

$\large   \log_a b = c   $  can be written in exponent form as    $\large      b =  a^c$

ganeshie8 · Answer

$\large  \large \log_{3x-5} ~16 = 2$   can be written as  $\large  16 =  (3x-5)^2$

ganeshie8 · Answer

Notice that 16 is a special number - any guess why is it special ?

dan815 · Answer

you there gaby?

anonymous · Answer

Yeah I am it is just that my computer is acting up.

anonymous · Answer

Um I am not sure why the 16 is a special number. @ganeshie8

ganeshie8 · Answer

Okay, 16 is a perfect square :

16 = 4^2

ganeshie8 · Answer

$\large  4^2 =  (3x-5)^2$

ganeshie8 · Answer

since the exponents are equal, we can compare the bases :

$\large 4 =  3x - 5$

solve $\large x$