Equação Exponencial 1) Resolva as equações exponenciais a seguir: a) \( 2^{x+1}=32 \) b) \( 2^{x-5}=128 \) c) \( 3^{x+5}=86 \) d) \( 4.2^{x+1}-10=118 \)

Simplify each expression. Assume that the variables represent any real numbers. Use the absolute value button only when necessary. (a) \( \sqrt{y^{16}}=\square \) (b) \( \sqrt{x^{18}}=\square \)

Use the Factor Theorem to determine whether \( x-2 \) is a factor of \( P(x)=x^{3}-3 x^{2}-4 x+ \) Specifically, evaluate \( P \) at the proper value, and then determine whether \( x-2 \) is a factor. \( \begin{array}{l}P(\square)=\square \\ x-2 \text { is a factor of } P(x) \\ x-2 \text { is not a factor of } P(x)\end{array} \)

\( 3z^{3}<9x \)

Multiply. \[ \begin{array}{l}(\sqrt{2}+7 \sqrt{5})(6 \sqrt{5}+\sqrt{2}) \\ \text { Simplify your answer as much as possible. }\end{array} \] II .

1.4 The straight line graph defined by \( y=2 x-4 \) will cut the \( y \)-axis at A. \( (0 ; 4) \) B. \( (-4 ; 2) \) C. \( (0 ;-4) \) D. \( (2 ;-4) \)