Question

What is the solution to the equation 7^−3x ≈ 9?

Answer 1

what does the ^ represent?

Answer 2

\[7^{-3x} \approx 9\] @threshsupport

Answer 3

take ln both sides \[ y^x = x \ln(y)\]

Answer 4

to drop down the power

Answer 5

i don't understand.. @S4Sensitiveandshy

Answer 6

\[y^x =z \]to bring the power down I will take log(or ln) both sides \[x \log(y)=\log(z)\]
the power rule^^^

Answer 7

make sense ???

Answer 8

is it x = 0.295 ? @S4Sensitiveandshy

Answer 9

hmm how did you get that ??

Answer 10

\[7^{-3x}=9 \rightarrow \log _{7}9=|-3x| \rightarrow \frac{ \ln9 }{ \ln7}=|-3x| \]

Solve for x