Question

Solve for x please help

Answer 1

x ≈ 0.6385

Explanation:

using the rule of logarithms

log
`x^(n)` = nlog x

then

`7^(2x)` = 12 ( take ln of both sides )

ln
`7^(2x)` = ln12

2x ln7 = ln12 ( divide both sides by 2ln7 )

x =
`(ln12)/(2ln7)` ≈ 0.6385 ( to the nearest ten thousandth )