Solveeit Logo
Login

Question

Question: If \(\left( \frac{3}{4} \right)^{x}\) = 7 then x =...

If (34)x\left( \frac{3}{4} \right)^{x} = 7 then x =

A

log⁡7log⁡4–log⁡3\frac{\log 7}{\log 4–\log 3}

B

log7(3/4)

C

log⁡7log⁡3–log⁡4\frac{\log 7}{\log 3–\log 4}

D

log7(4/3)

Answer

log⁡7log⁡3–log⁡4\frac{\log 7}{\log 3–\log 4}

Explanation

Solution

x = log(3/4) 7 = log⁡7log⁡(3/4)\frac{\log 7}{\log(3/4)} = log⁡7log⁡3–log⁡4\frac{\log 7}{\log 3–\log 4}