Question Detail

MTH 102 Differentiation Objective Question
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Question

Find \( dy/dx \) for \( y = \log_7(2x - 3) \).
Options
A \( 2 / [(2x-3)\ln 7] \)
Correct Answer
B \( 1 / (2x-3) \)
C \( 2 / (2x-3) \)
D \( \ln 7 / (2x-3) \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Derivative of ( \log_a u ) is ( u' / (u \ln a) ).

Hint

Use the change of base formula or the general logarithm differentiation rule.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 156 of 930
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