Questions

• Exponential and Logarithmic Functions Understand the laws of rational indices

  $8^{3}+8^{19}=$ 的傳統中文翻譯是：$8^{3}+8^{19}=$

  2017

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

  若 $\left\{\begin{array}{l}\log _{9} y=x-3 \\ 2\left(\log _{9} y\right)^{2}=4-x\end{array}\right.$, 則 $y=$

  2017

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

  $\frac{8^{2n+1}}{4^{3n+1}}=$

  2018

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

  存款 $100000 美元，年利率 2\%，期限為 3 年，採用複利計算，每月結算一次。請計算到期時的利息，並四捨五入到最接近的元。

  2018

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

  圖中所示為在同一直角坐標系上 $y=\log _{a} x$ 的圖像及 $y=\log _{b} x$ 的圖像，其中 $a$ 及 $b$ 均為正常數。若一垂直線分別與 $y=\log _{a} x$ 的圖像、 $y=\log _{b} x$ 的圖像及 $x$ 軸相交於點 $A$ 、點 $B$ 及點 $C$ ，則下列何者正確? I. $a>1$ II. $a>b$ III. $\frac{A B}{B C}=\log _{a} \frac{b}{a}$

  

  2018

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

  圖中, 直線 $L$ 顯示 $\log _{4} x$ 與 $\log _{4} y$ 之間的關係。已知 $L$ 通過點 $(1,2)$ 及點 $(9,6)$ 。若 $y=k x^{a}$, 則 $k=$

  

  2018

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

  $\frac{\left(6x^{7}\right)^{2}}{4x^{5}}=$ 的答案是什麼？

  2019

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

  存款 $65000美元$，年利率 $7\%$，年期 $8$ 年，複利計算，每季一結。求本利和準確至最接近的元。

  2019

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

  已知 $\log _{9} y$ 為 $\log _{3} x$ 的線性函數。該線性函數的圖像在垂直軸上的截距及在水平軸上的截距分別為 7 及 8 。下列何者必為正確?

  2019

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

  若 $\frac{3}{3 \log x-2}+7=\frac{2}{2 \log x+1}$，則 $\log \frac{1}{x}=$

  2019