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We want to plot the given values on the log scale. Looking at the number line, notice how at each tick mark we have a power of 10. And as we move from the left to the right at each tick mark, we increase by a factor of 10 and the exponent increases by one. And this is why this is a log scale, or more specifically a common log scale. So to determine where to plot point A, which has a value of 4,000, we need to solve the equation 10 raised to the power of x equals 4,000. Notice how if we can determine the value of x, we can determine where to plot point A on the log scale. So to solve this equation for x, well write the equivalent log equation. So for a quick review, if we have the exponential equation B raised to the power of A equals C, the equivalent log equation would be log base B of C equals A. Where B is the base. A is the exponent. And C is the number. So the equivalent log equation to 10 raised to the power of x equals 4,000. Well we know wed have log. And because the base is
