Home
Class 12
MATHS
If loga(ab)=x then logb(ab) is equals to...

If `log_a(ab)=x` then `log_b(ab)` is equals to

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( \log_b(ab) \) given that \( \log_a(ab) = x \). ### Step-by-Step Solution: 1. **Use the property of logarithms**: We start with the equation \( \log_a(ab) = x \). By using the property of logarithms, we can express \( \log_a(ab) \) as: \[ \log_a(ab) = \log_a(a) + \log_a(b) ...
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 1.33|1 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 1.34|1 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 1.31|1 Videos

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE ENGLISH|Exercise Subjective Type|9 Videos

  • MATHMETICAL REASONING

    CENGAGE ENGLISH|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are distinct real number different from 1 such that (log_(b)a. log_(c)a-log_(a)a) + (log_(a)b.log_(c)b-log_(b)b) +(log_(a)c.log_(b)c-log_(c)C)=0 , then abc is equal to

If phi(x)=log_(8)log_(3)x , then phi'(e ) is equal to

1/log_(ab)(abc)+1/log_(bc)(abc)+1/log_(ca)(abc) is equal to:

If log_(x)a, a^(x//2), log_(b)x are in G.P. then x is equal to

If "log"_(3) a xx "log"_(a) x = 4 , then x is equal to

If x=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab , then (xyz)/(xy+yz+zx) is equal to

If x=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab , then (xyz)/(xy+yz+zx) is equal to

If log_ax=alpha,log_bx=beta,log_c x=gamma and log_d x=delta ,xne1 and a,b,c, dne1 ,then log_(abcd) x equals

log (log_(ab) a +(1)/(log_(b)ab) is (where ab ne 1)

The value of the determinant |{:(1,log_ba),(log_ab,1):}| is equal to

CENGAGE ENGLISH-LOGARITHM AND ITS PROPERTIES-ILLUSTRATION 1.32
  1. If loga(ab)=x then logb(ab) is equals to

    Text Solution

    |