Solve for x to the nearest hundredth 3^x=38

Question

asked Jun 25, 2021 128k views

1 Answer

Raj Suvariya · Answer 1 · 2021-06-29T19:57:25+0000

Answer:

Explanation:

Given the equation
3^(x) = 38 , to calculate the value of x the following steps must be carried out;

Step 1;

Take the natural logarithm of both sides

$ln3^(x)=ln38\\ xln3 = ln38$

Step 2;

Divide both sides by ln3

$xln3/ln3=ln38/ln3\\x=ln38/ln3\\x=3.31$

The value of x is 3.31 to the nearest hundredth