Answer:
[tex]log_7(343)=3[/tex]
Step-by-step explanation:
The value of [tex]log_7(343)[/tex] can be easily obtained by recalling what the log notation means. Recall that logarithms are another way of writing exponents.
With the notation [tex]log_7(343)=?[/tex] we want to find an exponent (logarithms are exponents). So read this expression as: what is the exponent we need to use on base "7" to get the number 343? That exponent is the answer to the question.
Equivalently in exponential form: What is the exponent "x" such that: [tex]7^x=343[/tex]. The answer to this is : "3" (the exponent 3 on base "7" renders 343)
"3" is the answer because [tex]7^3=343[/tex]
