Solve Exponent Equation (To Decimals) (Level 1)

This math topic involves using logarithms to solve exponential equations where the exponents are missing, and the answers must be expressed in decimal form. Each problem requires students to find the value of 'x' for equations like `a^x = b`, with multiple-choice answers provided. This forms part of a broader introduction to logarithms. The focused skill is the application of logarithms to decipher exponents when the base and the result of the exponentiation are known.

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Solve Exponent Equation (To Decimals)

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Use a logarithm to solve for the missing exponent

4x=1784^{x} = 178

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Logarithms - Solve Exponent Equation (To Decimals) Worksheet

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Math worksheet on 'Logarithms - Solve Exponent Equation (To Decimals) (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/
1
Use a logarithm to solve for the missing exponent
A LaTex expression showing 6 to the power of x = 372
a
x = 1.3
b
x = 5.3
c
x = 2.3
d
x = 4.3
e
x = 3.3
2
Use a logarithm to solve for the missing exponent
A LaTex expression showing 10 to the power of x = 355
a
x = 1.55
b
x = 4.55
c
x = 3.55
d
x = 0.55
e
x = 2.55
3
Use a logarithm to solve for the missing exponent
A LaTex expression showing 8 to the power of x = 196
a
x = 2.54
b
x = 4.54
c
x = 3.54
d
x = 1.54
e
x = 0.54
4
Use a logarithm to solve for the missing exponent
A LaTex expression showing 7 to the power of x = 204
a
x = 4.73
b
x = 0.73
c
x = 2.73
d
x = 1.73
e
x = 3.73
5
Use a logarithm to solve for the missing exponent
A LaTex expression showing 2 to the power of x = 493
a
x = 6.95
b
x = 7.95
c
x = 8.95
d
x = 9.95
e
x = 10.95
6
Use a logarithm to solve for the missing exponent
A LaTex expression showing 10 to the power of x = 395
a
x = 2.6
b
x = 0.6
c
x = 4.6
d
x = 1.6
e
x = 3.6
7
Use a logarithm to solve for the missing exponent
A LaTex expression showing 8 to the power of x = 271
a
x = 0.69
b
x = 2.69
c
x = 3.69
d
x = 1.69
e
x = 4.69