Answer:
The value of x is 3.31 to the nearest hundredth
Step-by-step explanation:
Given the equation [tex]3^{x} = 38[/tex], to calculate the value of x the following steps must be carried out;
Step 1;
Take the natural logarithm of both sides
[tex]ln3^{x}=ln38\\ xln3 = ln38[/tex]
Step 2;
Divide both sides by ln3
[tex]xln3/ln3=ln38/ln3\\x=ln38/ln3\\x=3.31[/tex]
The value of x is 3.31 to the nearest hundredth
