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To solve the logarithmic equation log x + 4 = 8 by writing it in exponential form, follow these steps:
1. Start with the given equation: log x + 4 = 8.
2. Subtract 4 from both sides to isolate the logarithm: log x = 8 - 4.
3. Simplify the right side: log x = 4.
4. Rewrite the logarithmic equation in exponential form: x = 10^4.
5. Calculate the value of x: x = 10,000.
Therefore, the solution to the logarithmic equation log x + 4 = 8 is x = 10,000 when written in exponential form.
If you prefer to solve this equation by graphing, you can plot the graphs of y = log x and y = 8 - 4 on the same coordinate system and find their point of intersection, which corresponds to the solution of the equation.
I hope this explanation helps you understand how to solve the logarithmic equation log x + 4 = 8. If you have any more questions or need further clarification, feel free to ask!
