Interpretation 1:
[tex]5x = 15 \\ [/tex]
Divide both sides by 5:
[tex]\implies \boxed{x = 3}[/tex]
(Which is the final answer.)
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
Interpretation 2:
[tex] 5^{x}=15[/tex]
Take logarithm to the base 5 on both sides:
[tex]\implies log_5(5^{x})=log_5(15)\\\implies x=log_5 (15) \\\implies x= \frac{ln(15)}{ln(5)} \\\implies \boxed{x≈1.683} [/tex]
(Which is a thing too!)
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
P. S.: Now please don't tell me that this is a PhD level question and this is referring to the Knuth's Up-Arrow Notation. Which translates the question into something like: [tex]^{5}x=15[/tex]
