Question

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

Answer 1

Answer:

$x=1.56861$

Step-by-step 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

$log62^x=log648$

$\Rightarrow xlog62=log648$

$\Rightarrow x=\frac{log648}{log62}$

$\Rightarrow x=1.56861$

$x=1.56861$