Exponential equation a^f(x) = b (products of powers): take logs to solve for x
This type of question, asked 4 times: CDS 2 2016, CDS 2 2020, CDS 1 2021, CDS 2 2021. All 4 questions below, oldest first.
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Question 1
CDS 2 2016
28What are the roots of the equation 2x+2⋅27x−1x=9 ?
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Question 2
CDS 2 2020
43If 63−4x4x+5=8 (Given log102=0.301 and log103=0.477), then which one of the following is correct ?
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Question 3
CDS 1 2021
45If 5x−3=8, then what is x equal to?
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Question 4
CDS 2 2021
20If 5x−1=(2.5)log105, then what is the value of x ?
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