Convert Logarithm to Exponent - Natural Base (Level 1)

This math topic focuses on converting logarithmic expressions with a natural base (denoted as 'e') into their equivalent exponential forms. It provides practice to understand the relationship between logarithmic and exponential representations, a fundamental concept crucial for algebra and calculus. The problems involve converting logarithms like \(\log_e x = k\) to \(e^k = x\) and vice versa. Each question offers multiple choices, facilitating learning on correct transformation techniques. This helps reinforce the understanding of base 'e', or Euler's number, in logarithmic contexts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Logarithms - Convert Logarithm to Exponent - Natural Base Worksheet

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Math worksheet on 'Logarithms - Convert Logarithm to Exponent - Natural Base (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 e x = 3.2
a A LaTex expression showing x to the power of e = 3.2
b A LaTex expression showing 3.2 to the power of e = x
c A LaTex expression showing e to the power of 3.2 = x
d A LaTex expression showing x to the power of 3.2 = e
e A LaTex expression showing 3.2 to the power of x = e
2
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub e 4.64 = x
a A LaTex expression showing 4.64 to the power of x = e
b A LaTex expression showing x to the power of e = 4.64
c A LaTex expression showing e to the power of x = 4.64
d A LaTex expression showing x to the power of 4.64 = e
3
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub e 2.34 = x
a A LaTex expression showing 2.34 to the power of e = x
b A LaTex expression showing x to the power of e = 2.34
c A LaTex expression showing x to the power of 2.34 = e
d A LaTex expression showing e to the power of x = 2.34
4
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub e 3.88 = x
a A LaTex expression showing e to the power of x = 3.88
b A LaTex expression showing x to the power of 3.88 = e
c A LaTex expression showing x to the power of e = 3.88
5
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub e x = 3.51
a A LaTex expression showing 3.51 to the power of x = e
b A LaTex expression showing 3.51 to the power of e = x
c A LaTex expression showing x to the power of 3.51 = e
d A LaTex expression showing e to the power of 3.51 = x
6
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub e x = 2.89
a A LaTex expression showing 2.89 to the power of x = e
b A LaTex expression showing 2.89 to the power of e = x
c A LaTex expression showing x to the power of 2.89 = e
d A LaTex expression showing e to the power of 2.89 = x
7
Convert the given logarithm to the equivalent in exponent form
A LaTex expression showing \log sub e x = 2.12
a A LaTex expression showing x to the power of e = 2.12
b A LaTex expression showing 2.12 to the power of x = e
c A LaTex expression showing x to the power of 2.12 = e
d A LaTex expression showing e to the power of 2.12 = x