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Worksheet Worksheet

Instructions: Solve for the indicated quantity.

1.

Solve \(\ln(3) x + 5 = \ln(2) x - 7\) for \(x\text{.}\)

2.

Solve \(\pi x + \sqrt{3} = 2x + \cos(2)\) for \(x\text{.}\)

3.

Solve \(\exp(4) x + 3 = \exp(2) x + \exp(5)\) for \(x\text{.}\)

4.

Solve \(\sqrt{5} x - \log(4) = \pi x + \sqrt{7}\) for \(x\text{.}\)

5.

Solve \(2 \sin(x) + \sqrt{3} = 4 \sin(x)\) for \(\sin(x)\text{.}\)

6.

Solve \(5 \cos(x) + \sqrt{2} = 3 \cos(x) - 2\) for \(\cos(x)\text{.}\)

7.

Solve \(4 \ln(x) + 3 = -2 \ln(x) + \ln(4)\) for \(\ln(x)\text{.}\)

8.

Solve \(5 \exp(x) - \sqrt{6} = 2 \exp(x) - \cos(1)\) for \(\exp(x)\text{.}\)

9.

Solve \(3 f(x) - 4 f(2) = g(3) + 6\) for \(f(x)\text{.}\)

10.

Solve \(5 \sqrt{x} + \ln(3) = 4 \exp(2) - 3\) for \(\sqrt{x}\text{.}\)