## Exam-Style Questions on Logs## Problems on Logs adapted from questions set in previous exams. |

## 1. | IB Standard |

Find the value of the following:

(a) \(log_464\);

(b) \(log_7\frac17\);

(c) \(log_{25}5\);

(d) Use the solutions to the previous parts of this question to help solve:

$$log_464+log_7\frac17-log_{25}5=log_4x$$## 2. | IB Standard |

Evaluate the following, giving your answers as integers.

(a) \(\log _5 25\)

(b) \(\log _6 3 + \log _6 12\)

(c) \(\log _2 12 - \log _2 6\)

## 3. | IB Standard |

Find the value of

(a) \(\log _4 2 + \log _4 8\)

(b) \(\log_2 60-\log_2 15\)

(c) \(27^{\log_3 4}\)

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