Question

evaluate log7 343

Answer 1

Hint: \(\large\color{black}{ 343=7^3 }\)
and there are your rules you need:

\(\large\color{black}{ 1)~~~\log_aa=1 }\) (when a>1)
\(\large\color{black}{ 2)~~~\log_a(c^b)=b~\log_ac }\)

Answer 2

yeah i know that i just dot understand it

Answer 3

can you re-write \(\large\color{black}{ \log_7343 }\) in terms of log of 7?

Answer 4

no

Answer 5

\(\large\color{black}{ \log_7~343=\log_7~7^3=3(\log_7~7) }\)

Answer 6

Can you take it from here, based on the first rule I posted?

Answer 7

no

Answer 8

What is \(\large\color{black}{ \log_77 }\), do you know what it equals?

Answer 9

nothing seven cant be equal to anything

Answer 10

Look at the first rule I posted, and then tell me if you can answer my question.