Solve for x. \mathrm{3^(2x)=11} \sf[ Round\; to \;two \;decimal \;places\; as\; needed]

Question

Solve for x.


`\mathrm{3^(2x)=11}`


`\sf[ Round\; to \;two \;decimal \;places\; as\; needed]`

Answer 1

3^2x = 11

we take the logarithm (to the base of 3) of both sides.

log3(3^2x) = log3(11)

2x = log3(11) = log(11)/log(3)

x = log(11)/log(3) / 2 = log(11)/(2×log(3)) =

= 1.091329169... ≈ 1.09

Explanation:

Answer 2

Explanation:

3^2x = 11

we take the logarithm (to the base of 3) of both sides.

log3(3^2x) = log3(11)

2x = log3(11) = log(11)/log(3)

x = log(11)/log(3) / 2 = log(11)/(2×log(3)) =

= 1.091329169... ≈ 1.09