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

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

What does the logarithm equation mean?

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

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

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

What does the logarithm equation mean?

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

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

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

What does the logarithm equation mean?

$A LaTex expression showing \log sub 7 250 = 3$

To result in 250, you would raise 2.84 to the power of 7

To result in 250, you would raise 7 to the power of 2.84

What does the logarithm equation mean?

$A LaTex expression showing \log sub 4 497 = 4$

To result in 497, you would raise 4 to the power of 4.48

To result in 4.48, you would raise 497 to the power of 4

What does the logarithm equation mean?

$A LaTex expression showing \log sub 5 242 = 3$

To result in 5, you would raise 242 to the power of 3.41

To result in 242, you would raise 5 to the power of 3.41

What does the logarithm equation mean?

$A LaTex expression showing \log sub 5 253 = 3$

To result in 253, you would raise 3.44 to the power of 5

To result in 253, you would raise 5 to the power of 3.44

What does the logarithm equation mean?

$A LaTex expression showing \log sub 10 290 = 2$

To result in 290, you would raise 10 to the power of 2.46

To result in 2.46, you would raise 290 to the power of 10

What does the logarithm equation mean?

$A LaTex expression showing \log sub 4 263 = 4$

To result in 263, you would raise 4 to the power of 4.02

To result in 4.02, you would raise 263 to the power of 4