Multiple Choice
- Rounded to the nearest tenth, what is the solution to \$10^x = 350\$?
- 2.3
- 2.4
- 2.5
- 2.6
- \$\log_5 35\$ is equal to which of the following?
- \$\log 7\$
- \$\log 35\$
- \$\frac{\log 7}{\log 5}\$
- \$\frac{\log 35}{\log 5}\$
- What is the solution to \$x\$ to the nearest tenth in \$3 \cdot 4^x = 270\$?
- 3.0
- 3.1
- 3.2
- 3.3
- The number \$e\$ is between which of the following?
- 2 and 3
- 3 and 4
- 4 and 5
- 5 and 6
Placeholder(graph): Graph of a logarithmic function.
- \$y = \log_4 x\$
- \$y = \log_4 x\$
- \$y = 4^x\$
- \$y = \left(\frac{1}{4}\right)^x\$
Placeholder(graph): Graph of a function with two curves, one above and one below the line y=x.
- \$y = x^{\frac{3}{2}}\$
- \$y = \left(\frac{3}{2}\right)^x\$
- \$y = \frac{3}{2}x^2\$
- \$y = \left(\frac{2}{3}\right)^x\$
Show how you arrived at your answers
- Which is greater: \$\log_3 1,000\$ or \$\log_4 1,000\$? Explain your reasoning.
- If \$x = \log_7 7123456789\$, what is the value of \$x\$?
- Solve \$3 \cdot 5^x + 7 = 262\$ for \$x\$. Round to the nearest hundredth.
- Logan solves \$7^x = 263\$ by calculating \$\log_{263} 7\$. Calvin solves the same equation by calculating \$\log_7 263\$. Who is correct and why?
Placeholder(graph): Graph of y=log_2(x) with integer points labeled.
