|

Mathematics

State, true or false :
log x × log y = log x + log y

Logarithms

12 Likes

Answer

Given,

log x × log y = log x + log y

Solving the R.H.S. of the above equation, we get :

⇒ log x + log y

⇒ log xy

Since, L.H.S. ≠ R.H.S.

Hence, the statement log x × log y = log x + log y is false.

Answered By

7 Likes

Related Questions

State, true or false :
$\dfrac{\text{log x}}{\text{log y}}$ = log x - log y
View Answer

State, true or false :
If $\dfrac{\text{log 25}}{\text{log 5}}$ = log x, then x = 2
View Answer
If log₁₀ 2 = a and log₁₀ 3 = b; express log 12 in terms of 'a' and 'b'.
View Answer
If log₁₀ 2 = a and log₁₀ 3 = b; express log 2.25 in terms of 'a' and 'b'.
View Answer