Question

Select the correct choice and fill in the blank if necessary

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation

`0.3^x=6`

STEP 2: Simplify the equation for x

Apply ln of both sides

`\ln0.3^z=\ln6`

Apply exponent rule,

`x\ln \left(0.3\right)=\ln \left(6\right)`

Divide both sides by ln 0.3

`\begin{gathered} (x\ln\left(0.3\right))/(\ln0.3)=(\ln\left(6\right))/(\ln0.3) \\ x=-1.488205932 \\ x\approx-1.4882 \end{gathered}`

Hence, the value of x is -1.4882