Question

a, (19x + 2.5²) :14 = (13 - 8)² - 4²
b, 2.3^x = 10 . 3¹² + 8 . 27⁴
c, 2.3^(x + 1) - 3^x = 135
d, 15 : (x + 2) = (3³ + 3) : 10
e, 4 . (3x - 1)³ - 5² = 475
f, 15 : (x + 2) = (3³ + 3) : 10

Answer 1

b: \(\Leftrightarrow2\cdot3^x=10\cdot3^{12}+8\cdot3^{12}=3^{14}\cdot2\)

=>x=14

c: \(\Leftrightarrow2\cdot3^{x+1}-3^x=135\)

\(\Leftrightarrow3^x\left(2\cdot3-1\right)=135\)

\(\Leftrightarrow3^x=\dfrac{135}{6-1}=27\)

=>x=3

d: =>15:(x+2)=30:10=3

=>x+2=5

=>x=3

Answer 2

: ⇔2⋅3x=10⋅312+8⋅312=314⋅2⇔2⋅3x=10⋅312+8⋅312=314⋅2

=>x=14

c: ⇔2⋅3x+1−3x=135⇔2⋅3x+1−3x=135

Answer 3