Home
Class 11
MATHS
Express the following in exponential for...

Express the following in exponential form:
a) `log_(2)32=5`
b) `log_(sqrt(2))4=4`
c) `log_(10)0.01=-2`

Text Solution

Verified by Experts

a) `32=2^(5)`
b) `4=(sqrt(2))^(4)`
c) `0.01 = 10^(-2)`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 1|2 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 2|4 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JM)|8 Videos
  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Express each of the following in exponential form : (i) log_(8) 0.125 = -1 (ii) log_(10) 0.01 = -2 (iii) log_(a) A = x (iv) log_(10)1 = 0

Solve the following inequation . (xii) (log_2x)^2+3log_2xge5/2log_(4sqrt2)16

Write each of the following as single logarithm: (a) 1+ log_(2) 5" "(b) 2- log_(3) 7 (c) 2log_(10) x+3 log_(10) y - 5 log_(10) z

Which of the following numbers are non positive? (A) 5^(log_(11)7)-7(log_(11)5) (B) log_(3)(sqrt(7)-2) (C) log_(7)((1)/(2))^(-1//2) (D) log_(sqrt(2)-1) (sqrt(2)+1)/(sqrt(2)-1)

If log_(10)2 = a and log_(10) 3 = b , express each of the following in terms of 'a' and 'b' : (i) log 12 (ii) log 2.25 (iii) "log"_(2) (1)/(4) (iv) log 5.4 (v) log 60 (vi) "log 3" (1)/(8)

Express log_(10)2 + 1 in the form of log_(10)x .

Find the value of the following: (i) log_(10) 2 + log_(10) 5 (ii) log_(3) (sqrt(11)-sqrt2) + log_(3) (sqrt11+sqrt2) (iii) log_(7) 35 - log_(7) 5

Solve for x: log_(4) log_(3) log_(2) x = 0 .

Solve the following equations : (i) log_(x)(4x-3)=2 (ii) log_2(x-1)+log_(2)(x-3)=3 (iii) log_(2)(log_(8)(x^(2)-1))=0 (iv) 4^(log_(2)x)-2x-3=0

If log_(a)5=x and log_(a)7=y , then log_(a)sqrt(1,4)=