a) Example:

Use the log power law:

Distribute

Simplify

Factorise

Solve

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b) 4 \cdot 4^{x} = 5

Since the base is the same there are two ways to do this:

1)Laws of exponents say that

Then the same as question a)

2)

take logs:

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c) Treat as a quadratic equation: u = \log_3(x)

Solve using the quadratic formula but remember that