Question

Solve the equation. 3. 2^x=24

Answer 1

Step-by-step explanation: To solve the equation shown, 2ˣ = 24,

notice that our variable, x, is in the exponent.

So the first thing we should try to do is get like bases.

Notice however that there is no way to get like bases from 2 and 24.

In this situation, we use logarithms to solve the equation.

So we first take the log of both sides and we have log 2ˣ = log 24.

We can now move the x in the exponent position out in front

of the logarithm so that x is on the same level as the rest of the problem.

So we have x log 2 = log 24.

Now divide both sides by log 2 and we enter this into our calculator.

Make sure to use the parentheses button when

entering this problem into your calculator!

So we get x = 4.584962501.

Answer 2

x =4.584962501

Explanation:

2^x=24

Take the log of each side

log (2^x)= log 24

Using log a^b = b log a

x log 2 = log 24

Divide each side by log 2

x = log 24 /log 2

x =4.584962501