QuestionSolve for $x$ . $\log x=6$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $x=$ $\square$ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)

Studdy Solution

STEP 1

1. The equation $\log x = 6$ implies a logarithm with base 10, unless otherwise specified.
2. We need to convert the logarithmic equation into its exponential form to solve for $x$ .

STEP 2

1. Convert the logarithmic equation to its equivalent exponential form.
2. Solve for $x$ .

STEP 3

Convert the logarithmic equation $\log x = 6$ into its exponential form. The general form of a logarithmic equation $\log_b a = c$ is equivalent to the exponential form $b^c = a$ . Here, the base $b$ is 10:
$\log_{10} x = 6 \quad \Rightarrow \quad 10^6 = x$

STEP 4

Calculate the value of $10^6$ to find $x$ :
$x = 10^6 = 1,000,000$
The solution is: A. The solution is $x = 1,000,000$ .

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