taiwan-gsat 2021 Q1

taiwan-gsat · Other · ast__math-a 6 marks Exponential Equations & Modelling Evaluate Expression Given Exponential/Logarithmic Conditions

Let $x _ { 0 }$、$y _ { 0 }$ be positive real numbers. If the point $\left( 10 x _ { 0 } , 100 y _ { 0 } \right)$ on the coordinate plane lies on the graph of the function $y = 10 ^ { x }$ , then the point $\left( x _ { 0 } , \log y _ { 0 } \right)$ will lie on the graph of the line $y = a x + b$ , where $a$、$b$ are real numbers. What is the value of $2 a - b$?
(1) 4
(2) 9
(3) 15
(4) 18
(5) 22

Let $x _ { 0 }$、$y _ { 0 }$ be positive real numbers. If the point $\left( 10 x _ { 0 } , 100 y _ { 0 } \right)$ on the coordinate plane lies on the graph of the function $y = 10 ^ { x }$ , then the point $\left( x _ { 0 } , \log y _ { 0 } \right)$ will lie on the graph of the line $y = a x + b$ , where $a$、$b$ are real numbers. What is the value of $2 a - b$?\\
(1) 4\\
(2) 9\\
(3) 15\\
(4) 18\\
(5) 22

Paper Questions

QA QB QC QI QII Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8