Question

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

Answer 1

Answer:

The value of x is 3.31 to the nearest hundredth

Step-by-step 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