3 years ago

What does x equal? Please help

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

Answer:

x=-9

Step-by-step explanation:

$9^{2x-3}=27^{2x+4}\\(3^2)^{2x-3}=(3^3)^{2x+4}\\3^{2(2x-3)}=3^{3(2x+4)}\\3^{4x-6}=3^{6x+12}$

As the bases(3) are same,

we can conclude that the powers are equal.

Hence,

$4x-6=6x+12\\-6-12=6x-4x\\-18=2x\\x=-18/2\\x=-9$

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