Question

Se logb 4= -2,determine a base n do logaritmo

Answer 1

Log b  4  = -2

b⁻² = 4

1 / b² = 4

4b² = 1

b² = 1/4

b = √1/4

b = 1/2

Answer 2

Explicação passo-a-passo:

$\log_b4=-2\\ \\ b^{-2}=4\\ \\ {1\over b^2}=4\\ \\ 4b^2=1\\ \\ b^2={1\over4}\\ \\ b=\sqrt{{1\over4}} \\ \\ b={1\over2}\mapsto base$