Write the expression as a single logarithm. 2 log b q + 8 log b t

The expression can be written as a single logarithm by using the properties of logarithms, specifically the product rule:

2 log b q + 8 log b t = log b (q^2) + log b (t^8)

Next, we can simplify further using the power rule of logarithms:

= log b (q^2 * t^8)

Therefore, the expression can be written as a single logarithm: log b (q^2 * t^8)