Question

\3{^-x{^2}} = 7\ Use common log & two decimal places. Why does book say "no solution?"

Answer 1

The result is 0.43429

Answer 2

Is the book wrong, then? (that's fine... I'm just confused!)

Answer 3

I guess it is

Answer 4

go figure... Thanks very much! :-)

Answer 5

\[3^{-x ^{2}}=7\]

Answer 6

Is that the problem?

Answer 7

yes

Answer 8

\[-x ^{2}\ln 3=\ln 7\]

\[-x^2=\frac{\ln 7}{\ln 3}=1.77\]
\[x^2=-1.77\]
Now do you see why there is no solution? x^2 cannot be negative

Answer 9

Ok. That was the answer I came up with, too. Thank you much for this! :-)

Answer 10

yw