Question

3^-2 × 3^x = 81 Find the value of x.

Answer 1

(3−2)(3x)=81

1

9

(3x)=81

Step 1: Divide both sides by 1/9.

[1/9^(3x)] /1/9=81/1/9

3x=729

Step 2: Solve Exponent.

3x=729

log(3x)=log(729)(Take log of both sides)

x*(log(3))=log(729)

x=

log(729)

log(3)

x=6

Answer:

x=6

Answer 2

Answer:

9

Step-by-step explanation:

${3}^{ - 2} \times {3}^{x} = 81 \\ {3}^{x} = 81 \div .1111 \\ {3}^{x} = 729 \\ {3}^{x} = {3}^{9} \\ x = 9$