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Chapter 12: Problem 20

Write each equation in its equivalent logarithmic form. $$8^{y}=300$$

Short Answer

Expert verified
The logarithmic form of the given equation \(8^{y} = 300\) is \(\log_8 300 = y\).

Step by step solution

01

Identify the base, exponent and result in the given equation

The equation given is \(8^{y} = 300\). Here, 8 is the base, 'y' is the exponent and 300 is the result.
02

Apply the conversion formula

Convert the given equation into its logarithmic form using the formula: if \(b^y = x\), then \(\log_b x = y\). Substituting the identified base, exponent and result, the equivalent logarithmic form of \(8^{y} = 300\) is \(\log_8 300 = y\).

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Most popular questions from this chapter

Use your graphing utility to graph each side of the equation in the same viewing rectangle. Then use the \(x\) -coordinate of the intersection point to find the equation's solution set. Verify this value by direct substitution into the equation. $$\log _{3}(3 x-2)=2$$

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Without showing the details, explain how to condense \(\ln x-2 \ln (x+1)\)

Factor completely: $$6 x^{2}-8 x y+2 y^{2}$$ (Section 6.5, Example 8)
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