Answer:
[tex]log_5x=3[/tex]
Step-by-step explanation:
We have been given the equation [tex]5^3=x[/tex]
We can use below relation between logarithm and exponential function:
[tex]b^y=x\Rightarrow y=\log_bx[/tex] for x>0 and 0<b≠1
Here, b = 5, y= 3
Hence, using the above relation, the logarithmic equation is
[tex]3=\log_5x\\\\log_5x=3[/tex]
