Question

Solve algebraically 3^x= 243

Answer 1

3^x=243

so :

³log243=x
³log 3^5=x
x=5


or

5^√243
=3

Answer 2

`3^(x) = 243 \\ln(3^(x)) = ln(243) \\xln(3) = ln(243) \\(xln(3))/(ln(3)) = (ln(243))/(ln(3)) \\x = (ln(243))/(ln(3)) \\x = (ln(3^(5)))/(ln(3)) \\x = (5ln(3))/(ln(3)) \\x = 5`