Question

9. Wyznacz x, jeśli:

a) log₂ 8 + x * log√₃ 3 = log 1

b) (2x-3) * log₄16 = log₂18 - log₂9

c) log₃ 1/27 - x * log√₂ 4 = (x+1) * log 100

Answer 1

a)

log₂ 8 + x * log√₃ 3 = log 1

3+x*2=0

2x+3=0

2x=-3

x=-3/2

 

b)

 

(2x-3) * log₄16 = log₂18 - log₂9

(2x-3)*2=log₂18 - log₂9

(2x-3)*2=log₂2

(2x-3)*2=1

4x-6=1

4x=7

x=7/4

 

c)

 

log₃ 1/27 - x * log√₂ 4 = (x+1) * log 100

-3-x*4=(x+1)*2

-3-4x=2x+2

-6x=5

x=-5/6

 

 

 

 

Answer 2

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