Vidaara.orgClass 9 · Mathematics
CodeVID-M09-20-EXP-01
Solving Exponential Equations - Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
If $a^x=a^y$ ($a\ne0,1$), then:
- A.$x=y$
- B.$x=-y$
- C.$x=1/y$
- D.$xy=1$
2.
$2^x=8$ gives $x=$
- A.$2$
- B.$3$
- C.$4$
- D.$8$
3.
$3^x=81$ gives $x=$
- A.$3$
- B.$4$
- C.$5$
- D.$9$
4.
To solve, write both sides with the same:
- A.exponent
- B.base
- C.sign
- D.coefficient
5.
$5^x=1$ gives $x=$
- A.$0$
- B.$1$
- C.$5$
- D.$-1$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Solve $2^x=16$.
7.
Solve $3^x=27$.
8.
Solve $10^x=1000$.
9.
Solve $7^x=1$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Solve $2^x=32$.
11.
Solve $4^x=64$.
12.
Solve $9^x=27$.
13.
Solve $2^{x+1}=16$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Solve $3^{2x-1}=81$.
15.
Solve $2^{x+2}=8^{x-1}$.
Answer Key
Section A — Multiple Choice Questions
- (A) $x=y$
- (B) $3$
- (B) $4$
- (B) base
- (A) $0$
Section B — Short Answer (2 marks)
- $x=4$.
- $x=3$.
- $x=3$.
- $x=0$.
Section C — Short Answer (3 marks)
- $x=5$.
- $x=3$.
- $x=\tfrac32$.
- $x=3$.
Section D — Long Answer (5 marks)
- $x=\tfrac52$.
- $x=\tfrac52$.
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