Solving Exponential Equations, Summaries of History

A series of exercises on solving exponential equations. It covers various techniques such as reducing both sides to a common base, raising both sides to the same power, and applying logarithms to solve for the unknown variable 'x'. The exercises range in difficulty and cover a variety of exponential equation forms. This resource could be useful for high school or university-level mathematics students studying exponential functions and equations. A comprehensive set of practice problems that can help students develop their skills in manipulating and solving exponential equations, which is a fundamental concept in algebra and precalculus. By working through these exercises, students can improve their understanding of exponential functions, their properties, and the strategies for solving different types of exponential equations.

Typology: Summaries

2020/2021

Uploaded on 10/19/2022

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BLOQUE :I
!Reduciendo ambos miembros a una misma base, halle el valor de โ€œx โ€œ
01.-!!!!๐Ÿ๐’™$๐Ÿ“ = ๐Ÿ–๐’™(๐Ÿ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%4%
02.-%%%๐Ÿ๐Ÿ“๐Ÿ๐’™ =๐Ÿ๐Ÿ๐Ÿ“๐’™(๐Ÿ%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%-%3%
03.-%%%๐Ÿ•๐’™(๐Ÿ =๐Ÿ’๐Ÿ—๐Ÿ‘๐’™(๐Ÿ%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%0,6%
04.-%%%!!๐Ÿ‘๐Ÿ๐’™(๐Ÿ =๐Ÿ
๐Ÿ—%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%-%0,5%
05.-%%%๐Ÿ๐ŸŽ
๐Ÿ‘๐’™/๐Ÿ
๐Ÿ๐’™0๐Ÿ =๐Ÿ๐ŸŽ๐ŸŽ%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%-%3%
%%%%%%%%%06.-!!!!!๐ŸŽ, ๐Ÿ๐’™$๐Ÿ’ =๐Ÿ๐ŸŽ๐ŸŽ๐ŸŽ
๐Ÿ“%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%-3,4%
%%%%%%%%%07.-%!!!!๐Ÿ’๐’™/๐Ÿ
๐Ÿ๐’™0๐Ÿ =๐Ÿ๐Ÿ๐Ÿ–
!!
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%11%
%%%%%%%%08.-%%%%%%%(๐Ÿ๐’™$๐Ÿ)๐Ÿ=๐Ÿ”๐Ÿ’%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%2%
%%%%%%%%09.-%%%%%%%% ๐Ÿ๐Ÿ“
๐Ÿ๐’™0๐Ÿ
๐Ÿ
๐Ÿ/๐’™
=๐Ÿ
๐Ÿ“%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%-3%
%%%%%%%%%10.-%%%%( ๐Ÿ‘)
๐Ÿ๐’™
๐Ÿ‘!(๐Ÿ = ๐Ÿ—
๐Ÿ‘๐’™/๐Ÿ
๐Ÿ%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%3/7%
%%%%%%%%%11.-%%%%๐Ÿ๐ŸŽ๐Ÿ๐‘ฟ$๐Ÿ=%0,001%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%-%2%
%%%%%%%%%12.-%!!!๐Ÿ๐Ÿ”๐Ÿ๐‘ฟ(๐Ÿ =๐Ÿ”๐Ÿ’๐‘ฟ$๐Ÿ%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%%5%
%%%%%%%%%13.-%%%%๐Ÿ–๐Ÿ๐‘ฟ(๐Ÿ = ๐Ÿ‘๐Ÿ–%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%%3%
%%%%%%%%%14.-%%%% ๐Ÿ๐‘ฟ(๐Ÿ“
๐Ÿ‘= ๐Ÿ–%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Rpta:%%14%
%%%%%%%%%15.-%%%%% ๐Ÿ’๐‘ฟ(๐Ÿ. ๐Ÿ– ๐‘ฟ$๐Ÿ =๐Ÿ๐Ÿ” ๐‘ฟ$๐Ÿ‘%%%%%%%%%%%%%%%%%Rpta:%%11%
%
%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%MATEMรTICA%%:%%%%IV%%DE%SECUNDARIA%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%Profesor:%Luis%Mendoza%La%Serna%
Nombre:___________________________________________________________!!!!!!!!!!!!!!Secciรณn:______________!!!!!!!!
ECUACIONES%EXPONENCIALES!

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BLOQUE :I

Reduciendo ambos miembros a una misma base, halle el valor de โ€œx โ€œ 01.- ๐Ÿ๐’™$๐Ÿ“^ = ๐Ÿ–๐’™(๐Ÿ^ Rpta: 4 02.- ๐Ÿ๐Ÿ“๐Ÿ๐’™^ = ๐Ÿ๐Ÿ๐Ÿ“๐’™(๐Ÿ^ Rpta: - 3 03.- ๐Ÿ•๐’™(๐Ÿ^ = ๐Ÿ’๐Ÿ—๐Ÿ‘๐’™(๐Ÿ^ Rpta: 0, 04.- ๐Ÿ‘๐Ÿ๐’™(๐Ÿ^ = ๐Ÿ ๐Ÿ— Rpta: - 0,

๐Ÿ‘๐’™/๐Ÿ

๐Ÿ๐’™ 0 ๐Ÿ = ๐Ÿ๐ŸŽ๐ŸŽ Rpta: - 3

06 .- ๐ŸŽ, ๐Ÿ๐’™$๐Ÿ’^ = ๐Ÿ๐ŸŽ๐ŸŽ๐ŸŽ

๐Ÿ“ Rpta: - 3, 07 .- ๐Ÿ’๐’™/๐Ÿ ๐Ÿ๐’™^0 ๐Ÿ^

= ๐Ÿ๐Ÿ๐Ÿ– Rpta: 11

08.- (๐Ÿ๐’™$๐Ÿ)๐Ÿ^ = ๐Ÿ”๐Ÿ’ Rpta: 2 09.- ๐Ÿ๐Ÿ“ ๐Ÿ๐’™ 0 ๐Ÿ ๐Ÿ ๐Ÿ/๐’™ = ๐Ÿ ๐Ÿ“ Rpta: - 3 10.- ( ๐Ÿ‘) ๐Ÿ๐’™ ๐Ÿ‘ (๐Ÿ^ = ๐Ÿ— ๐Ÿ‘๐’™/๐Ÿ ๐Ÿ (^) Rpta: 3/ 11.- ๐Ÿ๐ŸŽ๐Ÿ๐‘ฟ$๐Ÿ = 0,00 1 Rpta: - 2 12.- ๐Ÿ๐Ÿ”๐Ÿ๐‘ฟ(๐Ÿ^ = ๐Ÿ”๐Ÿ’๐‘ฟ$๐Ÿ^ Rpta: 5 13.- ๐Ÿ–๐Ÿ ๐‘ฟ(๐Ÿ = ๐Ÿ‘ ๐Ÿ– Rpta: 3 14.- ๐Ÿ๐‘ฟ(๐Ÿ“ ๐Ÿ‘ = ๐Ÿ– Rpta: 14 15.- ๐Ÿ’ ๐‘ฟ(๐Ÿ. ๐Ÿ– ๐‘ฟ$๐Ÿ^ = ๐Ÿ๐Ÿ” ๐‘ฟ$๐Ÿ‘^ Rpta: 11 MATEMรTICA : IV DE SECUNDARIA Profesor: Luis Mendoza La Serna Nombre:___________________________________________________________ Secciรณn:______________

ECUACIONES EXPONENCIALES