Question

Medal and fan+








What is the solution to the equation 21^(x−3)=14?
x ≈ −2.133
x ≈ −1.846
x ≈ 3.867
x ≈ 4.154

Answer 1

\[if~ f(x)=g(x)~then;~In(f(x))=In(g(x))\]\[\ln \left(21^{\left(x-3\right)}\right)=\ln \left(14\right)\]

Answer 2

that make sense?

Answer 3

@RhondaSommer yeah sorta..

Answer 4

but what would that be for the choices, I cant really get an answer

Answer 5

\[\left(x-3\right)\ln \left(21\right)=\ln \left(14\right)\]
youd simploify it to that
then you need to simplify that as well

Answer 6

which is \[\frac{\ln \left(129654\right)}{\ln \left(21\right)}\]

Answer 7

which is \[x=3.86682\]

Answer 8

Thank you for your help !

Answer 9

yeah :)