Question

Calculate the value of (log2100) - (log210). Given that
log10 ^2=0.3
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Answer 1

The value of (log2100) - (log210). Given that  log10 ^2=0.3

Given,

(log2100) - (log210)

$log_2100-log_210$

we know that, 100 = 10²

$log_210^2-log_210$

using log properties, we have,

$loga^b=bloga$

$2 \times log_210-log_210$

$log_210$

3.32

∴ (log2100) - (log210) = 3.32