1003138512 Level: AHow many solutions in the set of integers does the following equation have? \[ \log_3(x^2-4x)-1=\log_3(2-x) \]exactly one negative solutionexactly one positive solutionexactly two solutionsno solutions
1003138513 Level: AHow many of the following equations have the solution that is a prime number? \[ \begin{aligned} \log_2\!\left(3^x-1\right)&=3 \\ \log_3\!\left(8^x+1\right)&=2 \\ \log_{\frac12}\!\left(2^x+8\right)&=-4 \end{aligned} \]\( 2 \)\( 3 \)\( 1 \)\( 0 \)
1003138514 Level: AHow many solutions in the set of integers does the following equation have? \[ \log_3\frac{2x^2+4}{x^2-4}=1 \]exactly two solutionsexactly one solutionno solutionsexactly one solution equal to zero
2000000401 Level: AFind the solution of the following equation. \[ \log_{3}(x-9) =2 \]\(x=18\)\(x=15\)\(x=9\)\(x=0\)
2000000402 Level: AFind the solution of the following equation. \[ \log_{2x-3}x=1 \]\(x=3\)\(x=1\)\(x=0\)\(x=-3\)
2000000404 Level: AWhat is the true statement about the solution of the equation \(\log_{x-1}25=2\)?It is an even number.It is a prime number.It is an odd number.It is a negative number.
2000000409 Level: AWhich of the following equations has the solution \(x=2\)?\(\log_{2x+1}25=2\)\(1+\log_{x+1}9=2\)\(\log_{4}x+2=1\)\(\log_{3}3x=2\)
2000000410 Level: AWhich of the following equations does not have the solution \(x=-4\)?\(\log_{3}2x=4\)\(\log_{2}x^{2}=4\)\(\log_{x^{2}}16=1\)\(\log_{x+6}4=2\)
2010010102 Level: AHow many solutions in the set of integers does the following equation have? \[ \log_{2}\!(3x-4)=\log_{2}\!(x-2) \]no solutionsexactly one solution equal to zeroexactly one negative solutionexactly one positive solution