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Chapter 12: Problem 35
Evaluate each expression without using a calculator. $$\log _{5} 5$$
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a. Simplify: \(e^{\ln 3}\) b. Use your simplification from part (a) to rewrite \(3^{x}\) in terms of base \(e\)
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. $$3^{x+1}=9$$
Describe the relationship between an equation in logarithmic form and an equivalent equation in exponential form.
Describe the following property using words: \(\log _{b} b^{x}=x\)
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\ln \sqrt{2}=\frac{\ln 2}{2}$$
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