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प्रश्न
Evaluate the following without using tables :
log 5 + log 8 - 2 log 2
उत्तर
Consider the given expression
log 5 + log 8 - 2 log 2 .....[ nlogam = logamn ]
= log 5 + log 8 x 8 - log 22 ......[ nlogam = logamn ]
= log 5 x 8 - log 22
= log 40 - log 4
= log`40/4` .....[ logam - logan = loga`(m/n)`]
= log 10
= 1
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संबंधित प्रश्न
Express in terms of log 2 and log 3 :
`"log"75/16 - 2"log"5/9 + "log"32/243`
Evaluate the following without using tables :
log 4 + `1/3` log 125 - `1/5`log 32
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Solve for x : log (x2 - 21) = 2.
Solve for x : log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3
If log 2 = 0.3010 and log 3 = 0.4771; find the value of:
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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
