Question

a. (2x-3)²=25

b. \(\frac{27}{3^x}=3\)

c. x:\(\left(\frac{2}{9}-\frac{1}{5}\right)=\frac{8}{10}\)

d. \(\frac{1}{3}+\frac{1}{2}:x=\frac{1}{5}\)

e. \(\left(x+1\right)=-27\)

Answer 1

a)(2x-3)²=25

<=>2x-3=5

<=>2x=8

<=>x=4

b)\(\frac{27}{3^x}=3\Leftrightarrow\frac{3^3}{3^x}=3\Leftrightarrow3-x=1\Leftrightarrow x=2\)

c)\(x:\left(\frac{2}{9}-\frac{1}{5}\right)=\frac{8}{10}\Leftrightarrow x:\frac{1}{45}=\frac{8}{10}\Leftrightarrow x=\frac{8}{10}\cdot\frac{1}{45}\Leftrightarrow x=\frac{4}{225}\)

d)\(\frac{1}{3}+\frac{1}{2}:x=\frac{1}{5}\Leftrightarrow\frac{1}{2}:x=-\frac{2}{15}\Leftrightarrow x=-\frac{15}{4}\)

e)(x+1)=-27

<=>x=-27-1

<=>x=-28