Answer: [tex]5^6=15,625[/tex]
Step-by-step explanation:
To solve this exercise it is important to remembet the definition Definition of a Logarithm:
If [tex]x >0[/tex] and, [tex]b>0,[/tex][tex]b\neq 1[/tex], then [tex]y = log_bx[/tex] is equivalent to [tex]b^y=x[/tex] (which is the exponential form).
Knowing this definition and having the following logarithmic equation:
[tex]6=log_515,625[/tex]
You can identify that:
[tex]b=5\\y=6\\x=15,625[/tex]
Therefore, susbtituting values into [tex]b^y=x[/tex], you can rewrite this equation as an exponential equation. Then:
[tex]5^6=15,625[/tex]
