Question

Resolva as equações exponenciais:

Answer 1

$a) \\ 2^x=64 \\ \not2^x=\not2^6 \\ x=6 \\ \\ S=\{6\} \\ \\ b) \\ 9^x=3 \\ (3^2)^x=3 \\ \not3^{2x}=\not3^1 \\ 2x=1 \\ x= \frac{1}{2} \\ \\ S=\{ \frac{1}{2} \}$ 

$c) \\ 3^x= \sqrt{243} \\ \\ 3^x= \sqrt{3^5} \\ \\ 3^x=3^{ \frac{5}{2} } \\ \\ x= \frac{5}{2} \\ \\ S=\{ \frac{5}{2} \}$ 

$d) \\ 5^x= \frac{1}{125} \\ \\ 5^x= \frac{1}{5^3} \\ \\ 5^x=5^{-3} \\ \\ x=-3 \\ \\ S=\{-3\}$