61.5k views
2 votes
Select the correct choice and fill in the blank if necessary

Select the correct choice and fill in the blank if necessary-example-1

1 Answer

3 votes

SOLUTION

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

User Hanleyp
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories