Logarithms - Convert Exponent to Logarithm - Natural Base (Level 1) - Mobius Math Academy

Convert Exponent to Logarithm - Natural Base (Level 1)

This math topic focuses on converting exponential expressions with the natural base \(e\) into logarithmic form. The problems are structured to help students apply the logarithmic identity \(\log_b a = c\) equivalently to \(b^c = a\), specifically using the natural logarithm base. Each question presents an equation in exponential form and asks for the equivalent logarithmic expression, offering multiple choices for students to select from. These problems help practice understanding and manipulating exponential and logarithmic relationships using \(e\) and develop skills in logarithmic conversions.

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

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Logarithms - Convert Exponent to Logarithm - Natural Base Worksheet

Math worksheet on 'Logarithms - Convert Exponent to Logarithm - Natural Base (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing e to the power of 3.41 = x

a $A LaTex expression showing \log sub 3.41 e = x$

b $A LaTex expression showing \log sub e x = 3.41$

c $A LaTex expression showing \log sub x 3.41 = e$

d $A LaTex expression showing \log sub x e = 3.41$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing e to the power of x = 4.11

a $A LaTex expression showing \log sub x 4.11 = e$

b $A LaTex expression showing \log sub 4.11 x = e$

c $A LaTex expression showing \log sub 4.11 e = x$

d $A LaTex expression showing \log sub e 4.11 = x$

e $A LaTex expression showing \log sub x e = 4.11$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing e to the power of 3.44 = x

a $A LaTex expression showing \log sub x 3.44 = e$

b $A LaTex expression showing \log sub e x = 3.44$

c $A LaTex expression showing \log sub 3.44 e = x$

d $A LaTex expression showing \log sub x e = 3.44$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing e to the power of 3.71 = x

a $A LaTex expression showing \log sub 3.71 x = e$

b $A LaTex expression showing \log sub 3.71 e = x$

c $A LaTex expression showing \log sub x 3.71 = e$

d $A LaTex expression showing \log sub e x = 3.71$

e $A LaTex expression showing \log sub x e = 3.71$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing e to the power of 2.76 = x

a $A LaTex expression showing \log sub x e = 2.76$

b $A LaTex expression showing \log sub e x = 2.76$

c $A LaTex expression showing \log sub 2.76 x = e$

d $A LaTex expression showing \log sub 2.76 e = x$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing e to the power of 2.02 = x

a $A LaTex expression showing \log sub 2.02 x = e$

b $A LaTex expression showing \log sub x 2.02 = e$

c $A LaTex expression showing \log sub x e = 2.02$

d $A LaTex expression showing \log sub e x = 2.02$

Convert the given exponent to the equivalent in logarithm form

A LaTex expression showing e to the power of x = 3.45

a $A LaTex expression showing \log sub x 3.45 = e$

b $A LaTex expression showing \log sub 3.45 e = x$

c $A LaTex expression showing \log sub x e = 3.45$

d $A LaTex expression showing \log sub e 3.45 = x$