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प्रश्न
Evaluate the following without using tables :
log108 + log1025 + 2 log103 - log1018
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उत्तर
Consider the given expression
log108 + log1025 + 2 log103 - log1018
= log108 + log1025 + log1032 - log1018 ....[ nlogam = logamn ]
= log108 + log1025 + log109 - log1018
= log108 x 25 x 9 - log1018 ....[ logal + logam + logan = logalmn ]
= log101800 - log1018
= `log_10(1800/18)`
= `log_10 100` .....[ ∵ log10100 = 2]
= 2
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