The value of can be easily obtained by recalling what the log notation means. Recall that logarithms are another way of writing exponents.
With the notation 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: . The answer to this is : "3" (the exponent 3 on base "7" renders 343)
