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Magazine Problem 7
In Exercises 7 - 12, evaluate the function at the indicated value of Round your result to three decimal places. Function \( f(x) = 0.9^x \) Value \( x = 1.4 \)
Problem 7
In Exercises 5 - 12, determine whether each \( x \)-value is a solution (or an approximate solution) of the equation. \( 3e^{x + 2} = 75 \) (a) \( x = -2 + e^{25} \) (b) \( x = -2 + \ln 25 \) (c) \( x \approx 1.219 \)
Problem 7
In Exercises 7 - 14, rewrite the logarithm as a ratio of (a) common logarithms and (b) natural logarithms. \( \log_5 16 \)
Problem 8
In Exercises 7 - 14, write the logarithmic equation in exponential form. For example, the exponential form of \( \log_5 25 = 2 \) is \( 5^2 = 25 \). \( \log_7 343 = 3 \)
Problem 8
In Exercises 7 - 14, rewrite the logarithm as a ratio of (a) common logarithms and (b) natural logarithms. \( \log_3 47 \)
Problem 8
In Exercises 7 - 12, evaluate the function at the indicated value of Round your result to three decimal places. Function \( f(x) = 2.3^x \) Value \( x = \dfrac{2}{3} \)
Problem 8
In Exercises 5 - 12, determine whether each \( x \)-value is a solution (or an approximate solution) of the equation. \( 4e^{x - 1} = 60 \) (a) \( x = 1 + \ln 15 \) (b) \( x \approx 3.7081 \) (c) \( x = ln 16 \)
Problem 9
In Exercises 7 - 14, rewrite the logarithm as a ratio of (a) common logarithms and (b) natural logarithms. \( \log_{1/5}x \)
Problem 9
In Exercises 7 - 12, evaluate the function at the indicated value of Round your result to three decimal places. Function \( f(x) = 5^x \) Value \( x = - \pi \)
Problem 9
In Exercises 5 - 12, determine whether each \( x \)-value is a solution (or an approximate solution) of the equation. \( \log_4\left(3x\right) = 3 \) (a) \( x \approx 21.333 \) (b) \( x = -4 \) (c) \( x = \dfrac{64}{3} \)
