If log with base b (2)=0.39 and log with base b (3)=0.61 evaluate the following. log with base b (8). Simplify your answer. How to start?
I thought I am supposed to write log base b 2^3 but I don't seem to get an answer that would fit.
8 = 2^3
log8 = 3 log2 = 3*0.39 = 1.17
To evaluate log base b (8), we can use the logarithmic property that states log base b (a^c) = c * log base b (a).
In this case, we have log base b (8), which is equivalent to log base b (2^3).
Using the mentioned property, we can rewrite it as 3 * log base b (2).
Now, we have the values for log base b (2), which is given in the problem as 0.39.
So, the final step is to substitute the value of log base b (2) into our expression:
3 * log base b (2) = 3 * 0.39
Multiply the values:
3 * 0.39 = 1.17
Therefore, log base b (8) simplifies to 1.17.