Question

Determine o valor das expressões:

Answer 1

a) $\log_71+\log_5 5+\log_3 \sqrt{3}+\log_8 8^{-2}=$

$0+1+\frac{1}{2}+(-2)=$

$1+\frac{1}{2}-2=$

$\frac{2}{2}+\frac{1}{2}-\frac{4}{2}=$

$\boxed{-\frac{1}{2} }$

b) $8^{\log_2 5}+\log_3 9^4=$

$(2^3)^{\log_2 5}+\log_3 (3^2)^4=$

$(2^{\log_2 5})^3+\log_3 3^8=$

$5^3+8=$

$125+8=$

$\boxed{133}$