Answer:
![5^6=15,625](https://img.qammunity.org/2020/formulas/mathematics/middle-school/enh3ov90gm8l0qzjfe772ai7j3myqy9crj.png)
Explanation:
To solve this exercise it is important to remembet the definition Definition of a Logarithm:
If
and,
![b>0,](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f0111vc9exe1daqgewdx5qjgvw9zzaf5ey.png)
, then
is equivalent to
(which is the exponential form).
Knowing this definition and having the following logarithmic equation:
![6=log_515,625](https://img.qammunity.org/2020/formulas/mathematics/middle-school/c9bzw57867jitns4s2db585slg64oo5znz.png)
You can identify that:
![b=5\\y=6\\x=15,625](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bcupynazouwp660t3rgm8ur207qwe8dl7g.png)
Therefore, susbtituting values into
, you can rewrite this equation as an exponential equation. Then:
![5^6=15,625](https://img.qammunity.org/2020/formulas/mathematics/middle-school/enh3ov90gm8l0qzjfe772ai7j3myqy9crj.png)