SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given equation
[tex]0.3^x=6[/tex]
STEP 2: Simplify the equation for x
Apply ln of both sides
[tex]\ln0.3^z=\ln6[/tex]
Apply exponent rule,
[tex]x\ln \left(0.3\right)=\ln \left(6\right)[/tex]
Divide both sides by ln 0.3
[tex]\begin{gathered} \frac{x\ln\left(0.3\right)}{\ln0.3}=\frac{\ln\left(6\right)}{\ln0.3} \\ x=-1.488205932 \\ x\approx-1.4882 \end{gathered}[/tex]
Hence, the value of x is -1.4882
