Given log b 3 = 0.8397 and log b 7 = 1.4873.

Find log b 3b

Is the right answer 0.8397

If you are trying to find the log (base b) of 3b..

logb 3b= logb 3 + logb b= .8397+1

To find log base b of 3b, we can use the rules of logarithms. One of the rules states that log base b of a product is equal to the sum of the logarithms of the individual factors.

In this case, we have log base b of 3b. Since 3b is a product of two factors (3 and b), we can rewrite it as log base b of 3 + log base b of b.

Now, we know that log base b of 3 is 0.8397 (given), and log base b of b is equal to 1 (because any number raised to the power of 1 is itself).

So, log base b of 3b = log base b of 3 + log base b of b = 0.8397 + 1 = 1.8397.

Therefore, the correct answer is 1.8397, not 0.8397.