Solving for exponents

Solving for exponents

By now, you should be very familiar with all the exponent rules. Not sure? Test yourself and try out the questions in this lesson. In this session, we will learn how to solving questions which have exponents as the unknowns.
Basic Concepts: Proportions, Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b, Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c, Combining the exponent rules
Related Concepts: Exponents: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}, Exponents: Division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}, Exponents: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)}, Exponents: Negative exponents

Lessons

  • Introduction
    What are exponent rules?
  • 1.
    Find the number x
    a)
    (12)x=8 ( \frac{1}{2}{)^x} = 8

    b)
    4x3=112 \frac{4^x}{3} = \frac{1}{12}

    c)
    5x+4=125 {5^{x+4}} = \frac{1}{25}

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24.
Exponents
24.1
Product rule of exponents
24.2
Quotient rule of exponents
24.3
Power of a product rule
24.4
Power of a quotient rule
24.5
Power of a power rule
24.6
Negative exponent rule
24.7
Combining the exponent rules
24.8
Scientific notation
24.9
Convert between radicals and rational exponents
24.10
Solving for exponents
Third Year Maths
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