Solving by Taking a Logarithm of Both Sides Worksheet with Answer Key

What's on the worksheet

1. Solve each equation.
   \left(\dfrac{3}{2}\right)^{x} = 1010^{x + 1} = 0.650.5^{x} = 12
2. Isolate the power, then solve.
   9 - 2 \cdot 5^{x} = 153(1.2)^{x - 4} = 7.520 - 3e^{-0.5x} = 14
3. Solve each equation by taking a logarithm of both sides.
   3^{x + 1} = 2 \cdot 5^{x}e^{x - 1} = 10^{x}
4. In a made-up model, the yearly tuition at a college goes up by 4% every year.
5. In a made-up model, a new album sells S = 80,000(0.85)^w copies in week w after its release, where w = 0 is the week of release.
6. Each sheet of a tinted window film lets through 70% of the light that reaches it.
7. Two students made a mistake before taking logarithms.