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zimovet [89]
3 years ago
9

1/27^-x=81^2x+2 find x​

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

Step-by-step explanation:

81

=

3

4

and

27

=

3

3

, so this equation can also be written as

3

4

x

=

3

3

(

x

+

2

)

=

3

3

x

+

6

.

Since the bases are now the same, we can equate exponents to get

4

x

=

3

x

+

6

so that

x

=

6

(technically this equating of exponents requires the fact that exponential functions (with base not equal to 1) are one-to-one functions).

(do u understand?)

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