Question

good morning and solve question 14 .

Answer 1

ᴴᴱᵞᴬ

ᴴᴱᴿᴱ ᴵˢ ᵀᴴᴱ ᴬᴺˢᵂᴱᴿ

ᴸᴱᵀ,

ᴺᵁᴹᴱᴿᴬᵀᴼᴿ = ˣ

ᴰᴱᴺᴼᴹᴵᴺᴬᵀᴼᴿ = ᵞ

ᶠᴿᴬᶜᵀᴵᴼᴺ ᶠᴼᴿᴹᴱᴰ = ˣ/ᵞ

ᴬ/ᵟ

2ˣ = 2 + ᵞ

ᴼᴺ ˢᴼᴸᵛᴵᴺᴳ ᶠᵁᴿᵀᴴᴱᴿ, ᵂᴱ ᴳᴱᵀ

2ˣ - ᵞ = 2 ___(1)

ᴬᴸˢᴼ,

(ˣ + 3)/(ᵞ + 3) = 2/3

ᶜᴿᴼˢˢ ᴹᵁᴸᵀᴵᴾᴸᴵᶜᴬᵀᴵᴼᴺ, ᵂᴱ ᴳᴱᵀ

3(ˣ + 3) = 2(ᵞ + 3)

3ˣ + 9 = 2ᵞ + 6

3ˣ - 2ᵞ = -3 ____(2)

ᴹᵁᴸᵀᴵᴾᴸᵞ ᴱᵟ(1) ᴮᵞ 2.

ᵂᴱ ᴳᴱᵀ

4ˣ - 2ᵞ = 4 ____(3)

ˢᵁᴮᵀᴿᴬᶜᵀ ᴱᵟ(2) ᴬᴺᴰ (3), ᵂᴱ ᴳᴱᵀ

3ˣ - 4ˣ = -3 - 4

-ˣ = -7

ˣ = 7

ᴾᵁᵀ ᵀᴴᴵˢ ᴵᴺ ᴱᵟ(2)

ᵂᴱ ᴳᴱᵀ

3(7) - 2ᵞ = -3

21 - 2ᵞ = -3

2ᵞ = 24

ᵞ = 12

ᴼᴿᴵᴳᴵᴺᴬᴸ ᶠᴿᴬᶜᵀᴵᴼᴺ = ˣ/ᵞ = 7/12

ᴴᴼᴾᴱ ᵀᴴᴵˢ ᴴᴱᴸᴾˢ.