Math 140

Class 8

Exponential and Logarithmic Equations

• \(2^x = 8\)
• \(2^{2x} = 2^{x+1}\)
• \(2^x = 9\)
• \(\ln(x + 1) = \ln(2x)\)
• \(\log_2 x = 3\)

\(e^{-3x} + 2 = 17\)

\(\displaystyle \frac{100}{1+3e^{-.1x}} = 75\)

\(\log_3(x+4) + \log_3(x-4) = 2\)

\(e^{2x} - 2e^x = 3\)