Convert Logarithm to Exponent - Decimal Value (Level 1)

This math topic focuses on converting logarithmic expressions to their corresponding exponential forms, particularly involving decimal values. It is aimed at introducing the fundamental concepts of logarithms. The questions presented require translating logarithmic statements, such as \(\log_b a = c\), to their equivalent exponential form, \(b^c = a\), with each problem providing multiple answer choices rendered in LaTeX images, which students need to evaluate and select the correct one. This reinforces understanding of how logarithms represent exponents and enhances skills in dealing with both whole numbers and decimals in exponentiation contexts.

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Logarithms - Convert Logarithm to Exponent - Decimal Value Worksheet

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Math worksheet on 'Logarithms - Convert Logarithm to Exponent - Decimal Value (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/
1
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 6 92 = 2.52
a A LaTex expression showing 6 to the power of 2.52 = 92
b A LaTex expression showing 2.52 to the power of 92 = 6
c A LaTex expression showing 92 to the power of 6 = 2.52
d A LaTex expression showing 92 to the power of 2.52 = 6
2
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 10 189 = 2.28
a A LaTex expression showing 10 to the power of 2.28 = 189
b A LaTex expression showing 189 to the power of 2.28 = 10
c A LaTex expression showing 2.28 to the power of 189 = 10
d A LaTex expression showing 189 to the power of 10 = 2.28
3
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 9 54 = 1.82
a A LaTex expression showing 54 to the power of 9 = 1.82
b A LaTex expression showing 1.82 to the power of 9 = 54
c A LaTex expression showing 9 to the power of 1.82 = 54
d A LaTex expression showing 54 to the power of 1.82 = 9
4
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 4 464 = 4.43
a A LaTex expression showing 464 to the power of 4.43 = 4
b A LaTex expression showing 464 to the power of 4 = 4.43
c A LaTex expression showing 4 to the power of 4.43 = 464
5
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 8 118 = 2.29
a A LaTex expression showing 118 to the power of 2.29 = 8
b A LaTex expression showing 2.29 to the power of 8 = 118
c A LaTex expression showing 2.29 to the power of 118 = 8
d A LaTex expression showing 8 to the power of 2.29 = 118
6
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 8 351 = 2.82
a A LaTex expression showing 351 to the power of 2.82 = 8
b A LaTex expression showing 2.82 to the power of 8 = 351
c A LaTex expression showing 351 to the power of 8 = 2.82
d A LaTex expression showing 8 to the power of 2.82 = 351
7
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 3 96 = 4.15
a A LaTex expression showing 96 to the power of 3 = 4.15
b A LaTex expression showing 96 to the power of 4.15 = 3
c A LaTex expression showing 4.15 to the power of 3 = 96
d A LaTex expression showing 3 to the power of 4.15 = 96