Question

Solve for x log 3x+4) = 2

Answer 1

Step 1:

Write the equation

`\log ^(3x+4)_4\text{ = 2}`

Step 2:

Express the equation in exponential form

`\begin{gathered} \log ^{3x+\text{ 4}}_4\text{ = 2} \\ 3x+4=4^2 \\ 3x\text{ + 4 = 16} \\ 3x\text{ = 16 - 4} \\ 3x\text{ = 12} \\ x\text{ = }(12)/(3) \\ x\text{ = 4} \end{gathered}`

Final answer

x = 4