Question

Expand log 2 (8/5(4)) 6

Log base 2 parentheses 8 over 5 power 4 parentheses to the power of 6 ?

Answer 1

\[\large \log_2\left(\frac{8}{5^4}\right)^6\]

Answer 2

start with
\[6\log_2(\frac{8}{5^4})\]

Answer 3

then turn the division in to a subtraction
\[6\left(\log_2(8)-\log_2(5^4)\right)\]

Answer 4

bring out the exponent of 4
\[6\left(\log_2(8)-4\log_2(4)\right)\]

Answer 5

and finally see if you know what \(\log_2(8)\) is

Answer 6

Ohhh okay which is 3