Answer:
The answer is
1.46
Step-by-step explanation:
[tex] {3}^{x} = 5[/tex]
Take logarithm of both sides of the equation
That's
[tex] log(3)^{x} = log(5) [/tex]
Using the rules of logarithms
[tex] log(3)^{x} = x log(3) [/tex]
So we have
[tex]xlog(3) = log(5) [/tex]
Divide both sides by log 3
We have
[tex]x = \frac{ log(5) }{ log(3) } [/tex]
We have the final answer as
1.46497
which is
1.46 to 2 decimal places
Hope this helps you
