Review question

# Can we use the laws of logs to find $x$ and $y$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7471

## Suggestion

If $\log{x} = 2 + \log{y} = \log{\frac{4}{9}} - \log{\frac{9}{125}} + 2\log{\frac{9}{5}},$ where all logarithms are to base $10$, find $x$ and $y$ without using tables.

Which rules do you know to simplify expressions with logarithms? Can you use them to simplify the above equation?