simplify the following expression.?

4 ln 2 ² + 7 ln 2^5
8 ln 2 + 35 ln 2
43 ln 2

4ln(4) + 7ln(32)
= 4ln(2^2) + 7ln(2^5)
= 4(2)ln(2) + 7(5)ln(2)
= 8ln(2) + 35ln(2)
= (8 + 35)ln(2)
= 43ln(2)

JUST TAKE YOUR ANSWER MAN.

4 ln 2^2 + 7 ln 2^5

(4 * 2) ln 2 + (7 * 5) ln 2 _________ {
from the law of indises
ln x^c = c * ln x
}
8 ln 2 + 35 ln 2

( 8 + 35 ) ln 2

43 ln 2

now take the value of ln 2 from the log table and this will gives you solution

4(ln(2^2))+ 7 (ln(2^5)
8(ln 2) + 35 (ln 2)
= 43 (ln2)