|

Mathematics

Prove the following:
3^{log 4} = 4^{log 3}

Logarithms

72 Likes

Answer

Given,

3^{log 4} = 4^{log 3}

Taking log on both sides we get,

⇒ log 3^{log 4} = log 4^{log 3}

⇒ log 4.log 3 = log 3.log 4

Since, L.H.S. = R.H.S.,

Hence, proved that 3^{log 4} = 4^{log 3}.

Answered By

40 Likes

Related Questions

Given 2log₁₀x + 1 = log₁₀250, find
(i) x
(ii) log₁₀2x
View Answer

If $\dfrac{\text{log x}}{\text{log 5}} = \dfrac{\text{log y}^2}{\text{log 2}} = \dfrac{\text{log 9}}{\text{log}\dfrac{1}{3}}$ , find x and y.
View Answer
Prove the following:
27^{log 2} = 8^{log 3}
View Answer
Solve the following equation:
log(2x + 3) = log 7
View Answer