Logarithms level 2

LOGARITHMSLEVEL 2C.S.VEERARAGAVAN98948 [email protected]

Simplify log(27)(16)(24)(18)

1) 4 2)2 3)1 4) 3log(27)(16)(24)(18) = log(27)(16)(3x8)(9x2)

= log(27)(16)(27)(16)

= 1

Apr 15, 2023C.S.VEERARAGAVAN 9894834264 [email protected] 2

I

If logxa = logya , both x,y > a and a is natural number then which of the following is necessarily true?

1) x is always equal to y2) x is never equal to y3) x need not be equal to ylogxa = logya implies xt = yt = a

When t = 0, x need not be equal to yWhen t = 1, x should be equal to yWhen t = 2, x need not be equal to y.In general x need not be equal to y.


II

If log36 + log312 = log3m, m = ?1) 9 2) 18 3) 3 4) 72


III

Simplify log248 – log26.

1)log242

2) log254

3)log2288

4) log28


IV

What is the value of log4m0 where m ≠ 01) 1 2) 2 3) 3 4) 0


V

Simplify: log482

1) 2 2) 3 3) 4 4) 6


VI

If log49 . logx2 = 1, x =?

1) 9 2) 3) 4)3log49 . logx2 = 1

x = 3


VII

𝑙𝑜𝑔79𝑙𝑜𝑔716

1) log32 2) log23

3) log43 4) log34


VIII

If , what is the value of k?

1) 81 2) 27 3) 9 4) 243

Since = N


IX

If 4 = log3p, p = ?

1) 81 2) 27 3) 9 4) 24334 = p


X

𝑙𝑜𝑔916=𝑙𝑜𝑔9 4𝑙𝑜𝑔𝑥3

, h𝑡 𝑒𝑛𝑥=?

1) 3 2) 9 3) 27 4) 81


XI

If logax = logay , where a ≠ 1, both x,y are positive then which of the following is necessarily true?

1) x is always equal to y2) x is never equal to y3) x need not be equal to y


XII

If log169 = k log23, then k = ?1) 1 2) 2 3) 4)


XIII

What is the integral part of log210000?

1) 11 2) 12 3) 134) 14

10000 lies between 213 and 214.Hence log210000 lies between 13 & 14


XIV

If N is a 20-digit number, what is the integral part of log10N?

1) 118 2) 19 3) 120 4) 21Any 20 digit number lies between 1019 and 1020.


XV

Logarithms level 2

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