Test 16
1.
\((3x-2)^2=(2x+4)^2\)
\(\Rightarrow \text{S.S.}=?\)
A) \(\left\{-\samefrac{2}{5}\right\}\)B) \(\left\{-\samefrac{2}{5},6\right\}\)C) \(\mathbb{R}\)D) \(\varnothing\)E) \(\left\{-\samefrac{2}{5},1,6\right\}\)
2.
\((4x+1)^4=(3x+13)^4\)
\(\Rightarrow \text{S.S.}=?\)
A) \(\left\{12\right\}\)B) \(\left\{2\right\}\)C) \(\left\{6\right\}\)D) \(\left\{-2,6\right\}\)E) \(\left\{12,-2\right\}\)
3.
\(\samefrac{5}{1+x^{-2}}+\samefrac{5}{1+x^2}=?\)
A) \(5\)B) \(4\)C) \(3\)D) \(2\)E) \(1\)
4.
\(x,y\in \mathbb{Z}\)
\(5^{x-3}=7^{y+x-9}\)
\(\Rightarrow x\cdot y=?\)
A) \(18\)B) \(12\)C) \(9\)D) \(6\)E) \(3\)
5.
\(x^{\samefrac{1}{5}}=y^{\samefrac{1}{2}}\)
\(\Rightarrow x^{\samefrac35}\cdot y=?\)
A) \(x\)B) \(x^2\)C) \(x^3\)D) \(x^4\)E) \(x^5\)
6.
\((5x-6)^{x+4}=1\)
\(\Rightarrow \text{S.S.}=?\)
A) \(\left\{-4\right\}\)B) \(\left\{-4,\samefrac{7}{5}\right\}\)C) \(\left\{\samefrac{7}{5}\right\}\)D) \(\left\{0,\samefrac{7}{5}\right\}\)E) \(\left\{-4,1,\samefrac{7}{5}\right\}\)
7.
\((2x-3)^{4x+8}=1\)
\(\Rightarrow \text{S.S.}=?\)
A) \(\left\{-2\right\}\)B) \(\left\{2\right\}\)C) \(\left\{-2,2\right\}\)D) \(\left\{1\right\}\)E) \(\left\{-2,2,1\right\}\)
8.
\((2x-1)^{x+2}=1\)
\(\Rightarrow \text{S.S.}=?\)
A) \(\left\{-2\right\}\)B) \(\left\{1\right\}\)C) \(\left\{1,-2\right\}\)D) \(\left\{0,1\right\}\)E) \(\left\{-2,0,1\right\}\)