Question

What is the solution to the equation 14 x - 3 = 21 ? (1 points)

Answer

x -2.133

x -1.846

x 3.867

x 4.154

Answer 1

i got this.... but this is not an option.1.71428571429

Answer 2

The answer is x = 4.154

Our expression is
`14^(x-3) =21`
Logarith both sides of the expression:

`log(14^(x-3)) =log(21)`
Since
`log( x^(a)) = a*log(x)`, then
`log( 14^(x-3)) = (x-3)*log(14)`

Back to our expression:

`(x-3)*log(14)=log(21)`

`x-3 = (log(21))/(log(14))`

`x-3= (1.322)/(1.146)`

`x -3 = 1.154 \\ x = 3 + 1.154 \\ x = 4.154`