Logarithms - Meaning, Equation to Words as Values (Decimals) (Level 1) - Mobius Math Academy

Meaning, Equation to Words as Values (Decimals) (Level 1)

This math topic focuses on understanding logarithmic equations and interpreting what each component in the equation represents. Specifically, it helps students learn how to translate logarithmic equations into verbal descriptions involving the concept of exponentiation with bases and exponents represented in decimal values. Each problem provides an equation such as \(\log_b a = c\) and asks what it means in words, offering two possible interpretations: either raising the base \(b\) to the power \(c\) results in \(a\), or raising \(a\) to the power \(c\) results in \(b\).

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

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Logarithms - Meaning, Equation to Words as Values (Decimals) Worksheet

Math worksheet on 'Logarithms - Meaning, Equation to Words as Values (Decimals) (Level 1)'. Part of a broader unit on 'Logarithms - Intro' Learn online: app.mobius.academy/math/units/logarithms_intro/

What does the logarithm equation mean?

$A LaTex expression showing \log sub 8 145 = 2$

To result in 145, you would raise 8 to the power of 2.39

To result in 8, you would raise 2.39 to the power of 145

What does the logarithm equation mean?

$A LaTex expression showing \log sub 2 86 = 6$

To result in 86, you would raise 2 to the power of 6.43

To result in 86, you would raise 6.43 to the power of 2

What does the logarithm equation mean?

$A LaTex expression showing \log sub 7 323 = 3$

To result in 323, you would raise 7 to the power of 2.97

To result in 323, you would raise 2.97 to the power of 7

What does the logarithm equation mean?

$A LaTex expression showing \log sub 5 38 = 2$

To result in 5, you would raise 38 to the power of 2.26

To result in 38, you would raise 5 to the power of 2.26

What does the logarithm equation mean?

$A LaTex expression showing \log sub 6 354 = 3$

To result in 354, you would raise 3.28 to the power of 6

To result in 354, you would raise 6 to the power of 3.28

What does the logarithm equation mean?

$A LaTex expression showing \log sub 8 101 = 2$

To result in 101, you would raise 8 to the power of 2.22

To result in 8, you would raise 101 to the power of 2.22

What does the logarithm equation mean?

$A LaTex expression showing \log sub 7 497 = 3$

To result in 497, you would raise 7 to the power of 3.19

To result in 7, you would raise 3.19 to the power of 497