Question

Siema dziękuję za pomoc z góry

Wykonaj dzialania:

77/34 : 11/17 - 7/5 * 155/7 = ......

2. Oblicz:

a) log2 32 =.....

b) log3 1/9 =.....

c) log3 54 + log3 1, 5 =.....

d) 2 log4 2 =.....

Dziękuję za pomoc

Answer 1

 

Answer 2

1.

77/34 : 11/17 - 7/5 * 155/7 = 77/34 * 17/11 - 155/5 = 7/2 - 31 = 3,5 - 31 = -27,5

 

2.

a)

log₂ 32 = x

2^x = 32

2^x = 2^5

x = 5

log₂ 32 = 5

 

b)

log₃ (1/9) = x

3^x = 1/9

3^x = 3⁻²

x = -2

log₃(1/9) = -2

 

c)

log₃ 54 + log₃ 1,5 = log₃ (54*1,5) = log₃ 81 = log₃ (3⁴) = 4

 

d)

2log₄ 2 = log₄ (2²) = log₄ 4 = 1,  bo 4¹ = 4