As funções na forma f left parenthesis x right parenthesis space equals space log subscript a open parentheses x close parentheses são consideradas logarítmicas, com a space greater than space 0 e a space not equal to space 1, sendo f colon straight real numbers to the power of asterisk times rightwards arrow straight real numbers. As funções logarítmicas envolvem em sua resolução, propriedades destinadas ao estudo dos logaritmos. Portanto, o seu desenvolvimento depende do conhecimento prévio dessas propriedades. Neste contexto, considere b greater than 0 , a greater than 0 e a not equal to 0 e m um número real, em seguida julgue as afirmações que se seguem.

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explanation:

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870