nomor 10,12dan 13 yg susuah itu tolong bantu.

jawab

10)

3²ˣ⁺¹  - 3. 3ˣ - 6 = 0
3. (3ˣ)² - 3. (3ˣ) - 6 = 0 ..}bagi 3
(3ˣ)² - (3ˣ)  - 2 = 0
misalkan 3ˣ = a  atau x = ³log a , dengan a > 0
a² - a  - 2= 0
(a - 2)(a +1) = 0
a = 2 atau a = -1 (TM)

untuk a = 2  maka x = ³log a
x = ³log 2

12)
a^(-1/3) . b^(1/2) =
a= 8 dan b  = 9
= (8)^(-1/3) . (9)^(1/2)
= (2^3)^(-1/3)  (3^2)^(1/2)
= 2^-1 . 3^1
= 3/2
^ pangkat

13.
(a)

(a³ b ) /b .  (4a³ b)/ a =
= a³ . 4a²b
= 4 a⁵ b

(b)

(b⁻¹ - a⁻¹)/(b a⁻¹  - a b⁻¹) ..kalikan  ab/ab
= ab (b⁻¹ - a⁻¹) / (ab)( b a⁻¹ - a b⁻¹)
= (a - b)/(b² - a²)
= (a - b ) /  - (a² - b²)
= (a - b) / -  (a + b )(a - b)
=  1/ -(a +b)
= 1/ (-a - b)

12. a^(-1/3) . b^(1/2) =
a= 8 dan b = 9
= (8)^(-1/3) . (9)^(1/2)
= (2^3)^(-1/3) (3^2)^(1/2)
= 2^-1 . 3^1
= 3/2

13.
(a) (a³ b ) /b . (4a³ b)/ a =
= a³ . 4a²b
= 4 a⁵ b

(b) (b^-1 - a^-1)/(b a^-1 - a b^-1)
= ab (b^-1 - a^-1) / (ab)( b a^-1 - a b^-1)
= (a - b)/(b² - a²)
= (a - b ) / - (a² - b²)
= (a - b) / - (a + b )(a - b)
= 1/ -(a +b)
= 1/ (-a - b)

maaf nomor 10 gak tau

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