Mindyard | For a real number x , if 1 2 , log 3 ( 2 x − 9 ) log 3 4 , and log 5 ( 2 x + 17 2 ) log 5 4 are in an arithmetic progression, then the common difference is log4(232), log4(32), log47, log4(72)

For a real number $x$ , if $\frac{1}{2}$ , $\frac{\log_{3} (2^{x} - 9)}{\log_{3} 4}$ , and $\frac{\log_{5} (2^{x} + \frac{17}{2})}{\log_{5} 4}$ are in an arithmetic progression, then the common difference is

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$\log_{4} (\frac{23}{2})$

$\log_{4} (\frac{3}{2})$

$\log_{4} 7$

$\log_{4} (\frac{7}{2})$

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For a real number $x$ , if $\frac{1}{2}$ , $\frac{\log_{3} (2^{x} - 9)}{\log_{3} 4}$ , and $\frac{\log_{5} (2^{x} + \frac{17}{2})}{\log_{5} 4}$ are in an arithmetic progression, then the common difference is

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For a real number x, if 12, log3(2x−9)log34, and log5(2x+172)log54 are in an arithmetic progression, then the common difference is

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You may also like

Study Material

CTET Paper 2 Set E 20th Aug 2023 Question Paper with Solutions

CTET Paper 2 Set M 31st Jan 2021 Question Paper with Solutions

Mock Tests

CTET Paper 2 Set E 20th Aug 2023

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Ask AI Tutor

For a real number $x$ , if $\frac{1}{2}$ , $\frac{\log_{3} (2^{x} - 9)}{\log_{3} 4}$ , and $\frac{\log_{5} (2^{x} + \frac{17}{2})}{\log_{5} 4}$ are in an arithmetic progression, then the common difference is