翰林提供学术活动、国际课程、科研项目一站式留学背景提升服务!
400 888 0080
首页
国际课程
A-Level课程
IB课程
AP课程
IGCSE课程
美高课程
少儿培优课程
国际竞赛
理科竞赛
STEM竞赛
商科竞赛
文科竞赛
丘成桐中学科学奖
热门资讯
学校动态
赛事动态
课程动态
学员奖项
2024-至今年度奖项
2022-2023年度奖项
2020-2021年度奖项
真题资料
联系我们
翰林导师
加入我们
商务合作
Home
»
国际课程
»
IB课程
»
Details
IB DP Maths: AA HL复习笔记1.2.3 Solving Exponential Equations
Category:
IB课程
,
教材笔记
,
福利干货
Date: 2022年7月11日 下午12:25
What are exponential equations?
An exponential equation is an equation where the unknown is a power
In simple cases the solution can be spotted without the use of a calculator
For example,
In more complicated cases the laws of logarithms should be used to solve exponential equations
The
change of base
law can be used to solve some exponential equations without a calculator
For example,
How do we use logarithms to solve exponential equations?
An exponential equation can be solved by taking logarithms of both sides
The
laws of indices
may be needed to rewrite the equation first
The
laws of logarithms
can then be used to solve the equation
ln (log
e
)
is often used
The answer is often written in terms of ln
A question my ask you to give your answer in a particular form
Follow these steps to solve exponential equations
STEP 1: Take logarithms of both sides
STEP 2: Use the laws of logarithms to remove the powers
STEP 3: Rearrange to isolate
x
STEP 4: Use logarithms to solve for
x
What about hidden quadratics?
Look for hidden squared terms that could be changed to form a quadratic
In particular look out for terms such as
4
x
= (2
2
)
x
= 2
2
x
= (2
x
)
2
e
2
x
= (e
2
)
x
= (e
x
)
2
Exam Tip
Always check which form the question asks you to give your answer in, this can help you decide how to solve it
If the question requires an exact value you may need to leave your answer as a logarithm
Worked Example
转载自savemyexams
Previous post: AQA A Level Physics复习笔记5.1.2 Current–Voltage Characteristics
Next post: AQA A Level Physics复习笔记5.2.1 Resistivity
翰林福利
站内搜索
在线登记
最新发布
不能错过!2024年马歇尔经济论文比赛放题!
AP成绩取消有哪些后果?AP成绩被取消一定要记得申诉!
AP成绩被取消了怎么办?AP成绩被取消了如何复议?
突发!大批AP考生成绩取消,究竟发生了什么?
申请美本被取消通知书!哪些雷不能踩?
新加坡签证政策更新:陪读签证扩展及入境政策变动
倒计时!HIR哈佛国际评论学术写作挑战夏季赛报名即将截止!
丘成桐中学奖报名倒计时!抓住机会!
热门标签
AMC
物理碗
BBO
AMC8
欧几里得数学竞赛
Physics Bowl
AMC10
John Locke
AMC12
USABO
USACO
PhysicsBowl
AIME
NEC
BPhO
丘成桐中学科学奖
欧几里得
HiMCM美国高中数学建模竞赛
UKChO
SIC
Euclid
Brain bee
IEO
袋鼠数学竞赛
CCC加拿大化学竞赛
© 2024. All Rights Reserved.
沪ICP备2023009024号-1
项目咨询
了解背提项目
了解课程
了解课程
微信咨询
Go to top