If I was asked to think of a number and multiply it by 2,1 cou write this algebraically as \( 2 x \). Write the following algebraically, using \( x \) as your unknown. "I think of a number, multiply it by 3 and add 1 to the result."

5) Qual a expressão cujo desenvolvimento logarítmico é dado abaixo ( \( a, b \), c são reais positivos)? a) \( \log _{2} a+\log _{2} b-\log _{2} c \) b) \( \frac{1}{3} \log a-\frac{1}{2} \log c-\frac{3}{2} \log b \) c) \( 2+\frac{1}{3} \log _{2} a+\frac{1}{6} \log _{2} b-\log _{2} c \) d) \( \frac{1}{2} \log (a-b)+\log a-\log (a+b) \)

Use the distribuive property to remove the parentheses. \[ -4\left(-2 r^{3}-2-6 u^{2}\right) \]

6) \( (x-8)(x-3)(x-5)=(x-5)(x-3)(x-6) \)

6. If the roots of the equation \( \left(a^{2}+b^{2}\right) x^{2}-2\left(a c+b d^{2}\right) x+\left(c^{2}+d^{2}\right)=0 \) are equal, then pro \( \frac{a}{b}=\frac{c}{d} \).

\( \begin{array}{ll}\text { 1) } \log _{3} 27 & \text { 4) } \log _{\frac{1}{3}} \sqrt[3]{9} \\ \text { 2) } \log _{\frac{1}{2}} 64 & \text { 5) } \log _{2 \sqrt{2}} 0^{\prime} 25 \\ \text { 3) } \log _{\sqrt{2}} 32 & \text { 6) } \log _{\frac{1}{2}} \frac{1}{2 \sqrt{8}}\end{array} \)