Question

Write the following in exponential form(i) log₁₈324 = 2 (ii) log₁₀10000 = 4 (iii) log √x = b(iv) log₄⁸ = x (v) log3 (1/27) = y

Answer 1

If $log_{p}q =r$

Then q can be given as,

    $q=p^{r}$

i) log₁₈324 = 2

   18^2 =324

ii) log₁₀10000 = 4  

10^4 = 10000

iii) log √x = b

10^b = √x (default base is 10)

(iv) log₄⁸ = x

4^x=8

x is 2

v) log3 (1/27) = y  

3^y=1/27

 y = 1/3

Answer 2

Answer:

Step-by-step explanation:

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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 324 ( base 18 ) = 2

=> 324 = 18²

ii ) log 10000 ( base 10 ) = 4

=> 10000 = 10⁴

iii ) log √x ( base x ) = b

=> √x = x^b

iv ) log 8 ( base 4 ) = x

=> 8 = 4^x

v ) log ( 1/27 ) ( base 3 ) = y

=> 1/27 = 3^y

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