If  1/log x base a +1/logx base c =2/log x base b. 

 Prove that a ,b, c are in g.p

Asked by Moorti | 27th Jun, 2019, 01:06: PM

Expert Answer:

begin mathsize 16px style fraction numerator 1 over denominator log subscript straight a straight x end fraction plus fraction numerator 1 over denominator begin display style log subscript straight c end style begin display style straight x end style end fraction equals fraction numerator 2 over denominator begin display style log subscript straight b end style begin display style straight x end style end fraction

end style
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Error converting from MathML to accessible text.
Error converting from MathML to accessible text.
log a + log c = log b2
log ac = log b2
b2 = ac
Hence, a, b, c are in GP

Answered by Sneha shidid | 27th Jun, 2019, 01:19: PM