Question

Write the exponential form of the following .(i) log10100 = 2 (ii) log525 = 2 (iii) log22 = 1 (iv) log1010 = 1

Answer 1

If $log_{p}q =r$

Then q can be given as,

 $q=p^{r}$

i) $log_{10}100 =2$

$100=10^{2}$

ii)  $log_{5}25 =2$

$25=5^{2}$

iii) $log_{2}2 =1$

$2=2^{1}$

iv) $log_{10}10 =1$

$10=10^{1}$

Answer 2

Answer:

i ) 100 = 10²

ii ) 25 = 5²

iii ) 2 = 2¹

iv ) 10 = 10¹

Step-by-step explanation:

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We know that ,

We define log x ( base a ) = n ,

if aⁿ = x , where a and x are

positive numbers and a ≠ 1

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Here ,

i ) log 100( base 10 ) = 2

=> 100 = 10² [ Exponential form ]

ii ) log 2 ( base 2 ) = 1

=> 2 = 2¹

iii ) log 25 ( base 5 ) = 2

=> 25 = 5²

iv ) log 10 ( base 10 ) = 1

=> 10 = 10¹

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