Question

Dê o valor de:

a)
$5 log_{5}7$
b)
$3log_{3}27$
c)
$4 log_{4} \frac{1}{2}$

Answer 1

a) 5 log₅ 7

5^x = 7 // x = 0,827

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5 log₅ 7 = 5 . x = 4,135

b) 3 log₃ 27

3^x = 27 //  x = 3

3 log₃ 27 = 3 x = 3 . 3 = 9

c) 4 log ₄ 1/2

4^x = 0,5  //  x = 1/3

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4 . [ log ₄ 1/2 ]  = 4.x  = 4 . 1/3 = 4/3

Answer 2

A) 5 log₅ 7

5^x = 7 // x = 0,827

5 log₅ 7 = 5 . x = 4,135

B) 3 log₃ 27

3^x = 27 //  x = 3

3 log₃ 27 = 3 x = 3 . 3 = 9

C) 4 log ₄ 1/2

4^x = 0,5  //  x = 1/3

4 . [ log ₄ 1/2 ]  = 4.x  = 4 . 1/3 = 4/3