Question

7^(-3x)=9^(-x-9)

Answer 1

x~~5.43

Answer 2

i need the answer in base-10 logarithms

Answer 3

\[\ln(7^{-3x})=\ln(9^{-x-9})\]
\[-3x \ln(7)=(-x-9)\ln(9)\]
\[-3x \ln(7)=-x \ln(9) -9 \ln(9)\]
\[9 \ln(9)=3x \ln(7)-x \ln(9)\]

Answer 4

\[9 \ln(9)=x(3 \ln(7)-\ln(9))\]

Answer 5

\[\frac{9 \ln(9)}{3 \ln(7)-\ln(9)}=x\]