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Fittoniya [83]
3 years ago
8

Solve the equation ​

Mathematics
1 answer:
victus00 [196]3 years ago
6 0

Answer:

A x=3

Step-by-step explanation:

(3^x) ^1/2 ÷ 3^1/2 = 3

We know that a^b^c = a ^(b*c)

3^(x *1/2) ÷ 3^1/2 = 3

3^(x /2) ÷ 3^1/2 = 3

We know that a^b ÷  a^c = a^(b-c)

3^(x /2 - 1/2) = 3

3^ ((x-1)/2) = 3

Rewriting 3 as 3^1

3^ ((x-1)/2) = 3^1

Since the bases are the same, the exponents are the same

(x-1)/2 =1

Multiply each side by 2

(x-1)/2 *2 =1*2

x- 1=2

Add 1 to each side

x-1+1 = 2+1

x=3

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