Convert Exponent to Logarithm - Decimal Value (Level 1)

This math topic covers the conversion of exponential expressions into their equivalent logarithmic forms with a focus on decimal values. Specifically, problems entail transforming equations such as \(a^b = c\) into \(\log_a c = b\), where \(a\) and \(c\) are integers, and \(b\) is a decimal. Each question provides a different base, exponent, and result, requiring the identification of the correct logarithm form among multiple choices. This skill is fundamental for students beginning to understand the relationship between exponentiation and logarithms.

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Logarithms - Convert Exponent to Logarithm - Decimal Value Worksheet

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Logarithms - Convert Exponent to Logarithm - Decimal Value
1
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 4 to the power of 4.4 = 443
a A LaTex expression showing \log sub 4.4 4 = 443
b A LaTex expression showing \log sub 4 443 = 4.4
c A LaTex expression showing \log sub 443 4.4 = 4
2
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 8 to the power of 2.45 = 164
a A LaTex expression showing \log sub 2.45 164 = 8
b A LaTex expression showing \log sub 8 164 = 2.45
c A LaTex expression showing \log sub 2.45 8 = 164
d A LaTex expression showing \log sub 164 2.45 = 8
3
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 7 to the power of 2.83 = 247
a A LaTex expression showing \log sub 7 247 = 2.83
b A LaTex expression showing \log sub 247 7 = 2.83
c A LaTex expression showing \log sub 2.83 7 = 247
d A LaTex expression showing \log sub 247 2.83 = 7
4
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 9 to the power of 1.94 = 71
a A LaTex expression showing \log sub 9 71 = 1.94
b A LaTex expression showing \log sub 1.94 9 = 71
c A LaTex expression showing \log sub 71 1.94 = 9
d A LaTex expression showing \log sub 71 9 = 1.94
5
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 8 to the power of 2.54 = 196
a A LaTex expression showing \log sub 2.54 8 = 196
b A LaTex expression showing \log sub 8 196 = 2.54
c A LaTex expression showing \log sub 196 2.54 = 8
6
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 4 to the power of 3.11 = 75
a A LaTex expression showing \log sub 75 4 = 3.11
b A LaTex expression showing \log sub 75 3.11 = 4
c A LaTex expression showing \log sub 3.11 75 = 4
d A LaTex expression showing \log sub 4 75 = 3.11
7
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 7 to the power of 2.95 = 314
a A LaTex expression showing \log sub 2.95 314 = 7
b A LaTex expression showing \log sub 314 7 = 2.95
c A LaTex expression showing \log sub 7 314 = 2.95
8
Convert the given exponent to the equivalent in logarithm form
A LaTex expression showing 6 to the power of 3.41 = 450
a A LaTex expression showing \log sub 3.41 450 = 6
b A LaTex expression showing \log sub 450 3.41 = 6
c A LaTex expression showing \log sub 6 450 = 3.41
d A LaTex expression showing \log sub 450 6 = 3.41