$log_{a} (ab)$ = x, then $log_{b} (ab)$ is :
$log_{a} (ab)$ = x
=> log b/ log a = x
=> (log a + log b)/ log a = x
1+ (log b/ log a) = x
=> log b/ log a = x-1
log a/ log b = 1/ (x-1)
=> 1+ (log a/ log b) = 1 + 1/ (x-1)
(log b/ log b) + (log a/ log b) = x/ (x-1) => (log b + log a)/ log b = x/ (x-1)
=>log (ab)/ log b = x/(x-1) => $log_{b} (ab)$ = x/(x-1)
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Find the value of x which satisfies the given expression $[log_{10} 2 + log (4x + 1)$ = $log (x + 2) + 1]$ |
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Which of the following statements is not correct? |
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If log 2 = 0.3010 and log 3 = 0.4771, What is the value of $log_{5}1024$? |
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$log_{(.001)} (100)$ = ? |
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$log_{a} (ab)$ = x, then $log_{b} (ab)$ is : |
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