Question

Solve the following equations.
3 ⋅ 62^x = 648

Answer 1

`x=1.56861`

Explanation:

`62^x=648`

By using logarithms it becomes easier to solve this question because of the properties they have

From the property of logarithms

`loga^x=xloga`

Take logarithms on both sides

`log62^x=log648`

`\Rightarrow xlog62=log648`

`\Rightarrow x=(log648)/(log62)`

`\Rightarrow x=1.56861`

`x=1.56861`