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प्रश्न
State, true or false :
If `log 25/log 5 = log x`, then x = 2.
उत्तर
Given that
`log 25/log 5` = log x
⇒ `[ log 5 xx 5 ]/[ log 5 ]` = log x
⇒ `[ log5^2 ]/[ log 5 ] = log x`
⇒ `[ 2log5 ]/[ log5 ] = log x ...[ log_am^n = nlog_a m ]`
⇒ 2 = log10x
⇒ 102 = x
⇒ x = 100
Thus, the statement, x = 2 is false.
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