Question

Tolong yaah .

dibaca teliti pertanyaan nya​

Answer 1

Jawab:

ekpoenen

persamaan

aᵇ = aⁿ  maka  b = n

Penjelasan dengan langkah-langkah:

i)  2. 4ˣ -17 .2ˣ +8 = 0

2. (2ˣ)² -17 .2ˣ +8 = 0

misal 2ˣ = a

2 a² - 17 a + 8 = 0

(2a - 8)(a - 1) = 0

2a - 8 = 0  atu a - 1 = 0

a = 4 atau a =  1

.

2ˣ= 4 atau 2ˣ = 1

2ˣ= 2²  atau 2ˣ = 2⁰

x = 2  atau x = 0

...

ii) 3²ˣ - 4. 3ˣ⁺¹ + 27 = 0

(3ˣ)² -  4 . (3ˣ). 3 + 27 = 0

(3ˣ)² - 12. (3ˣ).  + 27 = 0

misal 3ˣ= a

a² -12 a + 27 =0

(a - 9)(a - 3) =0

a= 9 atau a= 3

.

3ˣ = 9  atau 3ˣ = 3

3ˣ= 3²  atau 3ˣ= 3¹

x= 2  atau x = 1

...

iii)  4. 4ˣ - 13. 2ˣ + 3= 0

4. (2ˣ)² - 13. 2ˣ + 3= 0

misal 2ˣ= a

4a² -13a + 3= 0

(4a - 1)(a - 3)=0

a = 1/4  atau a = 3

..

2ˣ= 1/4  atau 2ˣ = 3

2ˣ = (2)⁻²  atau  log 2ˣ = log 3

x = - 2  atau x =  ²log 3