91Ó°ÊÓ

Evaluate the given quantities assuming that $$ \begin{array}{l} \log _{3} x=5.3 \text { and } \log _{3} y=2.1 \\ \log _{4} u=3.2 \text { and } \log _{4} v=1.3 \end{array} $$ $$ \log _{4}(2 u v) $$

P Suppose \(\$ 700\) is deposited in a bank account paying \(6 \%\) interest per year, compounded 52 times per year. How much will be in the bank account at the end of 10 years?

Evaluate the given quantities assuming that $$ \begin{array}{l} \log _{3} x=5.3 \text { and } \log _{3} y=2.1 \\ \log _{4} u=3.2 \text { and } \log _{4} v=1.3 \end{array} $$ $$ \log _{3} \frac{x}{3 y} $$

For Exercises \(21-28,\) find a number \(b\) such that the indicated equality holds. $$ \log _{b} 64=1 $$

For Exercises 21-32, find a formula for the inverse function \(f^{-1}\) of the indicated function \(f\). $$ f(x)=x^{9} $$

Suppose a television is playing softly at a sound level of 50 decibels. What decibel level would make the television sound eight times as loud?

Find a formula for the inverse function \(f^{-1}\) of the indicated function \(f\). $$ f(x)=x^{12} $$

Suppose a radio is playing loudly at a sound level of 80 decibels. What decibel level would make the radio sound one-fourth as loud?

8uppose \(\$ 8000\) is deposited in a bank account paying \(7 \%\) interest per year, compounded 12 times per year. How much will be in the bank account at the end of 100 years?

Evaluate the given quantities assuming that $$ \begin{array}{l} \log _{3} x=5.3 \text { and } \log _{3} y=2.1 \\ \log _{4} u=3.2 \text { and } \log _{4} v=1.3 \end{array} $$ $$ \log _{4} \frac{u}{8 v} $$