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The graph below shows transformations of the graph of What is the equation for the transformation?
Rewrite as an equivalent exponential equation.
Rewrite as an equivalent logarithmic equation.
Evaluate without using a calculator.
Evaluate using a calculator. Round to the nearest thousandth.
Evaluate using a calculator. Round to the nearest thousandth.
Graph the function
State the domain, vertical asymptote, and end behavior of the function
Domain: Vertical asymptote: End behavior: as and as
Rewrite in expanded form.
Rewrite in expanded form.
Rewrite as a product.
Use properties of logarithms to expand
Condense the expression to a single logarithm.
Rewrite to base
Rewrite as a logarithm. Then apply the change of base formula to solve for using the common log. Round to the nearest thousandth.
Solve by rewriting each side with a common base.
Use logarithms to find the exact solution for If there is no solution, write no solution .
Use logarithms to find the exact solution for If there is no solution, write no solution .
no solution
Find the exact solution for . If there is no solution, write no solution .
Find the exact solution for If there is no solution, write no solution .
no solution
Find the exact solution for If there is no solution, write no solution .
Find the exact solution for If there is no solution, write no solution .
Use the definition of a logarithm to solve.
47. Use the definition of a logarithm to find the exact solution for
Use the one-to-one property of logarithms to find an exact solution for If there is no solution, write no solution .
Use the one-to-one property of logarithms to find an exact solution for If there is no solution, write no solution .
The formula for measuring sound intensity in decibels is defined by the equation where is the intensity of the sound in watts per square meter and is the lowest level of sound that the average person can hear. How many decibels are emitted from a large orchestra with a sound intensity of watts per square meter?
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