log x= 2.4 i have tried but i just cant get it i missed class that day and my teacher wont explain.
To solve the equation log x = 2.4, you need to find the value of x. It's understandable to feel confused if you missed the explanation in class. Don't worry, I'll guide you step-by-step through the process.
Step 1: Understanding logarithms
A logarithm is the inverse operation of exponentiation. The logarithm of a number x to a base b is denoted as log base b of x and represents the exponent to which b must be raised to obtain x.
Step 2: Convert the equation to exponential form
In this case, the logarithmic equation log x = 2.4 can be rewritten in exponential form as b^2.4 = x. Here, the base b can be any positive number.
Step 3: Solve for x
Since the equation doesn't mention a specific base, we can assume a commonly used base such as 10 or e (approx. 2.71828). Let's solve it assuming the base is 10.
10^2.4 = x
Step 4: Calculate the answer
Using a calculator, evaluate 10^2.4. This gives us approximately 251.1886.
Therefore, x ≈ 251.1886
So, the solution to log x = 2.4 is x ≈ 251.1886.
To solve the equation log(x) = 2.4, you need to understand logarithmic notation. Logarithms are the inverse operations of exponentiation. They help us solve for unknown values in exponential equations.
In this case, we have the equation log(x) = 2.4. To solve for x, we need to rewrite the logarithmic equation in exponential form. In exponential form, we have:
x = 10^(2.4)
Now, we can proceed with calculating the value of x. Here's how it's done:
Step 1: Calculate 10 raised to the power of 2.4.
10^(2.4) ≈ 251.19
Step 2: Therefore, the solution to the equation log(x) = 2.4 is x ≈ 251.19.
To summarize:
1. Start with the equation log(x) = 2.4.
2. Rewrite it in exponential form: x = 10^(2.4).
3. Calculate 10 raised to the power of 2.4 to find the value of x, which comes out to approximately 251.19.
I hope this helps! Let me know if you have any further questions.
take the antilog of each side:
x=antilog 2.4 = 10^2.4
Put this in your calc, or in the google search window (google calc)
10^2.4