hello--

It is understood that a logarithmic notation:

That is certainly straight forward. But, please clarify: how to correlate the above expression with the following:

10 log 2 = 3

10 log 10 = 10

10 log 1,000,000 = 60

Even entering a calculator elicits the above, but I am unable to relate "10 log 1000000 = 60" to (merely as an example) "log 2 (8) = 3"

I can do the math for "log 2 (8) = 3" (I am multiplying 2 by itself 3 times to produce 8) but I cannot explain how (again, only as an example) "10 log 1,000,000 = 60"

I hesitate to pose this inquiry only because I feel certain the explanation will appear quite obvious...

thank you!