Question

Solve for x (Simplify your answer. Type an integer or a decimal. Round to 3 decimal places if needed.

Answer 1

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

STEP 1: Write the given expression

`e^(ln3x)=e^(ln(x+6))`

STEP 2: Simplify the expression

`\begin{gathered} e^(\ln \left(3x\right))=e^(\ln \left(x+6\right)) \\ Apply\text{ exponent rules} \\ \ln \left(3x\right)=\ln \left(x+6\right) \\ By\text{ simplification,} \\ x=3 \end{gathered}`

Hence, x = 3