Question

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

Answer 1

The value of x is 3.31 to the nearest hundredth

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