Question

3by4 raise to power 6x × 3by4 raise to power 2 = 3by4 raise to power 8 × 3 by 4 raise to power 3x​

Answer 1

Answer:

$x \ = \ 2$

Step-by-step explanation:

$(\frac{3}{4}) ^{6x} \ * \ (\frac{3}{4}) ^{2} \ = \ (\frac{3}{4}) ^{8} \ * \ (\frac{3}{4}) ^{3x}$

$=(\frac{3}{4} )^{6x \ + \ 2 } \ = \ (\frac{3}{4} )^{8 \ + \ 3x} [ If \ bases \ are \ same \ in \ multiplication, \ we \ can \ add \ the \ powers]$$6x \ + \ 2 \ = \ 8 \ + \ 3x \ \ \ \ \ \ [ Since \ bases \ are \ same, \ we \ can \ equate \ the \ powers ]$

$6x \ - \ 3x \ = \ 8 \ - \ 2$

$3x \ = \ 6$

$x \ = \ 2$

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Answer 2

Answer:

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