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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Logarithms - Convert Logarithm to Exponent - Decimal Value
1
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 7 196 = 2.71
a A LaTex expression showing 196 to the power of 2.71 = 7
b A LaTex expression showing 2.71 to the power of 196 = 7
c A LaTex expression showing 2.71 to the power of 7 = 196
d A LaTex expression showing 7 to the power of 2.71 = 196
2
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 4 415 = 4.35
a A LaTex expression showing 4.35 to the power of 415 = 4
b A LaTex expression showing 415 to the power of 4 = 4.35
c A LaTex expression showing 4 to the power of 4.35 = 415
d A LaTex expression showing 4.35 to the power of 4 = 415
3
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 7 408 = 3.09
a A LaTex expression showing 3.09 to the power of 408 = 7
b A LaTex expression showing 3.09 to the power of 7 = 408
c A LaTex expression showing 408 to the power of 7 = 3.09
d A LaTex expression showing 7 to the power of 3.09 = 408
e A LaTex expression showing 408 to the power of 3.09 = 7
4
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 3 337 = 5.3
a A LaTex expression showing 5.3 to the power of 337 = 3
b A LaTex expression showing 3 to the power of 5.3 = 337
c A LaTex expression showing 5.3 to the power of 3 = 337
d A LaTex expression showing 337 to the power of 3 = 5.3
5
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 2 414 = 8.69
a A LaTex expression showing 2 to the power of 8.69 = 414
b A LaTex expression showing 414 to the power of 8.69 = 2
c A LaTex expression showing 414 to the power of 2 = 8.69
d A LaTex expression showing 8.69 to the power of 414 = 2
6
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 8 339 = 2.8
a A LaTex expression showing 8 to the power of 2.8 = 339
b A LaTex expression showing 339 to the power of 8 = 2.8
c A LaTex expression showing 339 to the power of 2.8 = 8
d A LaTex expression showing 2.8 to the power of 339 = 8
7
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 8 to the power of 2.29 = 118
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 118 to the power of 2.29 = 8
8
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub 8 197 = 2.54
a A LaTex expression showing 8 to the power of 2.54 = 197
b A LaTex expression showing 197 to the power of 2.54 = 8
c A LaTex expression showing 2.54 to the power of 8 = 197
d A LaTex expression showing 2.54 to the power of 197 = 8