Question

FIND THE VALUE OF X , IF (6/5)raise to x (5/6)raise to 2x = 125/216

Answer 1

Step-by-step explanation:

The power of the \frac{6}{5} \& \frac{5}{6} can be equated to find out the term x

Now to find the term x we need to equal both the terms like changing \frac{6}{5} t o \frac{5}{6} so that we can easily equate the equation.

\begin{array}{l}{\left(\frac{6}{5}\right)^{x} \times\left(\frac{5}{6}\right)^{2 x}=\frac{125}{216}} \\ \\{\left(\frac{5}{6}\right)^{-x} \times\left(\frac{5}{6}\right)^{2 x}=\frac{125}{216}}\end{array}

Taking 5/6 common, we get

\left(\frac{5}{6}\right)^{-x+2 x}=\frac{125}{216}=\left[\frac{5}{6}\right]^{3}

Placing 125 and 215 as respective cube of 5 and 6 we get ,

\left(\frac{5}{6}\right)^{-x+2 x}=\left[\frac{5}{6}\right]^{3}

As we can see the identity is same, we can equate the powers, after equating the powers we get

-x + 2x = 3

x = 3

PLEASE MARK BRAINLIEST

Answer 2

Answer:

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