Confused on this
8log8(19)=
The answer would be 57.1985401309. I'm not exactly sure how to explain it.
A)
819
B)
198
C)
8
D)
19
a) 8/19
b) 19/8
c) 8
d) 19
we were only give these choices
I will assume you meant:
8log8(19)
If that is the case, then the result is appr 11.328
none of your choices come even close to that.
check your typing
To solve the expression 8log8(19), we can use the logarithmic property that states log_b(a^c) = c * log_b(a).
In this case, we have 8log8(19). Using the logarithmic property, we can rewrite it as log8(19^8).
Now, we need to evaluate 19^8 first. 19^8 means multiplying 19 by itself 8 times.
To calculate 19^8, you can use a scientific calculator or any calculator that has an exponentiation function.
Now, let's calculate 19^8:
19^8 = 19 × 19 × 19 × 19 × 19 × 19 × 19 × 19 ≈ 21,84,41,81,23.
Now, we have log8(21,84,41,81,23). This expression means the power to which 8 needs to be raised to get 21,84,41,81,23.
To calculate log8(21,84,41,81,23), you can use a logarithm table, a scientific calculator, or an online calculator that supports logarithmic calculations.
Using a calculator, we find that log8(21,84,41,81,23) ≈ 8.505.
Therefore, 8log8(19) simplifies to 8.505.