Power of X plus Power of (X+N) (Level 2)

This math topic focuses on solving equations involving exponents, specifically the sum of two powers of a variable. Each problem involves determining the value of 'x' in expressions where two terms, each a power of 'x' that may differ by a constant, are equated to a given number. This is part of a broader study on exponents, including negative and fractional exponents, as well as power laws. The skill practiced is crucial for understanding properties of exponential functions and their applications.

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Exponents - Power of X plus Power of (X+N) Worksheet

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Math worksheet on 'Exponents - Power of X plus Power of (X+N) (Level 2)'. Part of a broader unit on 'Exponents - Negative, Fractional, and Power Law' Learn online: app.mobius.academy/math/units/exponents_negatives_fractions_and_power_law/
1
Solve for 'x'
A LaTex expression showing 2 to the power of x + 2 to the power of x + 2 = 40
a
x=10
b
x=8
c
x=2
d
x=3
e
x=4
f
x=6
2
Solve for 'x'
A LaTex expression showing 6 to the power of x + 6 to the power of x + 1 = 252
a
x=2
b
x=1
c
x=5
d
x=4
e
x=6
f
x=7
3
Solve for 'x'
A LaTex expression showing 2 to the power of x + 2 to the power of x + 2 = 80
a
x=1
b
x=3
c
x=4
d
x=2
e
x=5
f
x=10
4
Solve for 'x'
A LaTex expression showing 2 to the power of x + 2 to the power of x + 1 = 192
a
x=6
b
x=7
c
x=5
d
x=2
e
x=1
f
x=12
5
Solve for 'x'
A LaTex expression showing 2 to the power of x + 2 to the power of x + 2 = 20
a
x=2
b
x=10
c
x=3
d
x=6
e
x=7
f
x=8
6
Solve for 'x'
A LaTex expression showing 3 to the power of x + 3 to the power of x + 2 = 90
a
x=4
b
x=3
c
x=9
d
x=2
e
x=1
f
x=7
7
Solve for 'x'
A LaTex expression showing 2 to the power of x + 2 to the power of x + 2 = 160
a
x=2
b
x=11
c
x=5
d
x=1
e
x=4
f
x=6