Question

evaluate (3/4)^6×(16/9)^5=(4/3)^x+2 find x​

Answer 1

(4/3)^(-6) × (4/3)^10 = (4/3)^x+2

(4/3)^4 = (4/3)^x+2

Because, base is same at both the sides,

So,

4 = x + 2

x = 2.......●

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Hope it was helpful. ^_^

Answer 2

Answer

x =4

Step-by-step explanation:

1) Reciprocal the no. (3/4) to make it like terms.{if we reciprocal the fraction the power will be in negative.}

2) Now all the fractions are in like terms.

3) Now in multiplication the powers will be add up.

4) Then answer will come (4/3)^4 = (4/3)^x+2

5) Then answer will come (256/81)-2 = (4/3)^x

6) Then answer will come (94/81)^1/x =(4/3)