## Exam-Style Question on Logarithms## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 343. This question is similar to one that appeared on an IB Standard paper in 2018. The use of a calculator is allowed.

An arithmetic sequence has \(u_1 = \log_h(j)\) and \(u_2 = \log_h(jk)\), where \(h > 1\) and \(j, k \gt 0\).

(a) Show that \(d = \log_h(k)\).

(b) Let \(j = h^5\) and \(k = h^7\). Find the value of \( \sum_{n=1}^{16} u_n \).

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