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प्रश्न
Express in terms of log 2 and log 3 : log 4.5
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उत्तर
log 4.5
= log`45/10`
= log`[ 5 xx 3 xx 3 ]/[ 5 xx 2 ]`
= log`[ 3^2]/[2 ]`
= log 32 - log 2 .....[ loga`m/n` = logam - logan ]
= 2log3 - log 2 ......[ logamn = nlogam ]
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संबंधित प्रश्न
Express in terms of log 2 and log 3:
`log26/51 - log91/119`
Express the following in a form free from logarithm:
2 log x + 3 log y = log a
Express the following in a form free from logarithm:
a log x - b log y = 2 log 3
Evaluate the following without using tables :
log 4 + `1/3` log 125 - `1/5`log 32
Solve for x : `(log 81)/(log27 )` = x
Solve for x : ` ( log 128) / ( log 32 ) ` = x
Solve for x :
`log 225/log15` = log x
Solve for x : ` (log 64)/(log 8)` = log x
State, true or false :
If `log 25/log 5 = log x`, then x = 2.
If log10 8 = 0.90, find the value of:
log10 4
