ANSWER:
A. the solution set is:
[tex]x=\frac{\operatorname{\ln}(\frac{8}{7})}{12\operatorname{\ln}(3)}[/tex]
A. The solution set is 0.010
STEP-BY-STEP EXPLANATION:
We have the following equation:
[tex]7\left(9^{6x}\right)=8[/tex]
We solve for x:
[tex]\begin{gathered} 9^{6x}=\frac{8}{7} \\ \\ 6x\cdot\ln(9)=\ln\left(\frac{8}{7}\right) \\ \\ x=\frac{\ln\left(\frac{8}{7}\right)}{6\cdot\ln(9)}=\frac{\ln\left(\frac{8}{7}\right)}{6\ln\left(3^2\right)}=\frac{\ln\left(\frac{8}{7}\right)}{6\cdot2\ln\left(3\right)} \\ \\ x=\frac{\ln\left(\frac{8}{7}\right)}{12\ln\left(3\right)} \\ \\ x\approx0.010 \end{gathered}[/tex]
