Question

If 3/4 power 6 × 16/9 power 5=4/3 power x+2, find x

Answer 1

answer is 2. explained in pic. select as brainliest one please.

Answer 2

The value of x is 2.

Step-by-step explanation:

Given : Expression $(\frac{3}{4})^6\times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}$

To find : The value of x ?

Solution :

Re-write the expression as,

$(\frac{4}{3})^{-6}\times (\frac{4^2}{3^2})^5=(\frac{4}{3})^{x+2}$

$(\frac{4}{3})^{-6}\times (\frac{4}{3})^{10}=(\frac{4}{3})^{x+2}$

Using exponential property, $a^b\times a^c=a^{b+c}$

$(\frac{4}{3})^{-6+10}=(\frac{4}{3})^{x+2}$

$(\frac{4}{3})^{4}=(\frac{4}{3})^{x+2}$

Comparing the base,

$4=x+2$

$x=2$

Therefore, the value of x is 2.

#Learn more

Find the value of x., if 2 power x + 2 power x + 2 power x is equal to the 192

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