Perplex
Content
  • Exponents & Logarithms
  • Approximations & Error
  • Sequences & Series
  • Counting & Binomials
  • Proof and Reasoning
  • Complex Numbers
  • Cartesian plane & lines
  • Quadratics
  • Function Theory
  • Transformations & asymptotes
  • Polynomials
  • 2D & 3D Geometry
  • Trig equations & identities
  • Vectors
  • Probability
  • Descriptive Statistics
  • Distributions & Random Variables
  • Differentiation
  • Integration
  • Differential Equations
  • Maclaurin
Other
  • Review Videos
  • Blog
  • Landing Page
  • Sign Up
  • Login
  • Perplex
    IB Math AAHL
    /
    Exponents & Logarithms
    /

    Problems

    Edit

    Problem Bank - Exponents & Logarithms

    Access custom-built, exam-style problems for exponents & logarithms. Each problem has a full solution and mark-scheme, as well as AI grading and support.

    Select a Difficulty:

    19 / 94 problems visible - Upgrade to view all problems

    IB: 4
    1

    !

    0 / 5

    Solve for x and y in the following system of equations:


    ⎩⎨⎧​ln(xy2)=7ln(xy​)=13​
    [5]
    2

    !

    0 / 4

    Solve for x in the equation 15−3x=274−x, giving your answer in terms of ln3 and ln5.

    [4]
    3

    !

    0 / 5

    Solve the equation 4lnx=ln81−8.

    [5]
    4

    !

    0 / 5

    Solve the equation 154−3x=92x, giving your answer in terms of ln3 and ln5.

    [5]
    5

    !

    Plus

    0 / 4

    Upgrade to Plus to solve this problem
    6

    !

    Plus

    0 / 6

    Upgrade to Plus to solve this problem
    7

    !

    Plus

    0 / 5

    Upgrade to Plus to solve this problem
    8

    !

    Plus

    0 / 6

    Upgrade to Plus to solve this problem
    9

    !

    Plus

    0 / 5

    Upgrade to Plus to solve this problem

    Ask Plex AI about problem 1

    Get hints, ask questions, and work through this problem step by step