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Mathematical Methods · Unit 2 · Logarithms and logarithmic functions · Logarithmic functions

Solve equations involving logarithmic functions with and without technology.

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Question 1

Use the graph to find the value of $x$ that satisfies $\log_2(3x - 5) = 4$.

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Question 2

The diagram below shows the graph of \( y = \log_2(x) \) and a horizontal line \( y = k \). The \( x \)-coordinate of the point of intersection is \( x = 12 \). What is the value of \( k \)?

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Question 3

Solve for $x$ in the equation $\log_2(3x - 5) = 4$.

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Question 4

Solve for \(x\) in the following. \(\log_5(2x + 3) + \log_5(x - 1) = \log_5(4x + 7)\)

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