Question

2) BRAINLIEST AND 10+POINTS :)

PLS HELP ASAP

Answer 1

Answer:

x=2

Step-by-step explanation:

9 ^(2x-1) = 3 ^ (-x+8)

Rewrite 9 as 3^2

3^2 ^(2x-1) = 3 ^ (-x+8)

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

3^(2 *(2x-1)) = 3 ^ (-x+8)

3 ^ (4x-2) = 3 ^ (-x+8)

The bases are the same so the exponents are the same

4x-2 = -x+8

Add x to each side

4x-2+x = -x+x+8

5x-2 =8

Add 2 to each side

5x-2+2 = 8+2

5x = 10

Divide each side by 5

5x/5 = 10/5

x=2

Answer 2

Answer:

b) 2

Step-by-step explanation:

9^(2x-1) = 3^(-x+8)

3²^(2x-1) = 3^(-x+8)

3^(4x-2) = 3^(-x+8)

4x - 2 = -x + 8

5x = 10

x = 2