Questions

• Exponential and Logarithmic Functions Understand the laws of rational indices Solve exponential equations and logarithmic equations

  $\frac{8^{333}}{\left(2 x^{2}\right)^{-3}}=$

  2024

• Exponential and Logarithmic Functions Understand the definition and properties of logarithms (including the change of base) Solve exponential equations and logarithmic equations

  如果方程式$(\log _{9} x)^{2}+\log _{9} x^{2}-12=\log _{9} x$的根是$m$和$n$，那麼$\log _{3} m+\log _{3} n=$

  2024

• Exponential and Logarithmic Functions Understand the definition and properties of logarithms (including the change of base) Solve exponential equations and logarithmic equations

  如果 $m \neq n$ 且 $\left\{\begin{array}{l}\left(\log _{k} m\right)^{2}=\log _{k} m^{12}-18 \\ \left(\log _{k} n\right)^{2}=\log _{k} n^{12}-18\end{array}\right.$，其中 $k>1$，則 $m$ 與 $n$ 的乘積是

  Premium 2024

• Exponential and Logarithmic Functions Understand the laws of rational indices

  \[\frac{16x^{-3} y^{4} \cdot 25z^{2}}{5x^2 y^{-2} \cdot z^{-4}} = \]

  2024

• Exponential and Logarithmic Functions Understand the definition and properties of logarithms (including the change of base)

  \(\log_3 \left(\frac{27^2 \cdot x}{9 \cdot y^3}\right) =\)

  2024

• Exponential and Logarithmic Functions Understand the properties of exponential functions and logarithmic functions and recognize the features of their graphs

  設\(\log_b(x) = p\)和\(\log_b(y) = q\)，用\(p\)和\(q\)表示\(\log_b\left(\frac{x^3 \cdot y^2}{\sqrt{x \cdot y^4}}\right)\)。

  2024

• Exponential and Logarithmic Functions Understand the definition and properties of logarithms (including the change of base)

  設 \(\log_2(x^3) + \log_2(8) - \log_2(4x) = 4\)，求 \(x\) 的值。

  2024

• Exponential and Logarithmic Functions Understand the definitions of rational indices

  簡化表達式 \(\left( 27^{\frac{2}{3}} \cdot 81^{-\frac{1}{4}} \right)\)。

  2024

• Exponential and Logarithmic Functions Understand the definitions of rational indices

  如果 \( x^{\frac{3}{2}} = 27 \)，那麼 \( x \) 的值是多少？

  2024

• Exponential and Logarithmic Functions Understand the laws of rational indices

  簡化下列表達式，並用正指數表示你的答案：\(\frac{8x^{-2}y^3}{2x^{-4}y^{-1}}\)

  2024