Answer:
[tex]x=1.56861[/tex]
Step-by-step explanation:
[tex]62^x=648[/tex]
By using logarithms it becomes easier to solve this question because of the properties they have
From the property of logarithms
[tex]loga^x=xloga[/tex]
Take logarithms on both sides
[tex]log62^x=log648[/tex]
[tex]\Rightarrow xlog62=log648[/tex]
[tex]\Rightarrow x=\frac{log648}{log62}[/tex]
[tex]\Rightarrow x=1.56861[/tex]
[tex]x=1.56861[/tex]
